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Answer- In mathematics, the full form of the term “LCM” is “Least Common Multiple,” while the full form of “HCF” is the “Highest Common Factor.” The highest common factor (HCF) specifies the greatest factor that is present in between two or more numbers, whereas the lowest common multiple (LCM) indicates the smallest number that is completely divisible by two numbers. The highest common factor (HCF) is another name for the highest common factor (HCF), and the least common divisor is another name for the least common multiple.
The core factorization method and the division method are two key approaches that can be used to determine the highest common factor and the lowest common multiple, respectively. Both of these approaches are ones that were taught to us in prior classes. The division method is a time-saving shortcut that can be used to determine both the H.C.F. and the L.C.M. With the use of the formula provided here, let us investigate the connection that exists between HCF and LCM. In addition, in order to better comprehend each of these notions, we will work through several issues based on them. Students in lower primary and upper secondary schools, including Classes 4, 5, 6, 7, and 8, will find this article to be extremely beneficial in their studies.
HCF Definition
In mathematics, the term “highest common factor” is referred to as “HCF.”
The Gcd, or greatest common divisor, of two or even more positive integers, is the biggest positive number that divides the values without leaving a residual, as prescribed by mathematical laws. Take 8 and 12, for instance. Because the maximum number that can be divided by both 8 and 12 is 4, the H.C.F. of 8 and 12 is 4.
Definition of LCM
Least Common Multiple is the mathematical term for LCM.
a and b’s least common multiple (LCM) is denoted as LCM in the context of arithmetic (a,b). LCM is the least positive integer that can be divided by both a and b.
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