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Q: How do You Find The LCM of 15,20?
In the number theory and arithmetics, the least common multiple, also called the lowest common multiple or the smallest common multiple of two integers, i.e., A and B, usually given as lcm(A, B), is the smallest positive integer that can be divided by both the integers A and B. When we divide an integer by zero, we get no answer as it is undefined, and this definition is meaningful only if A and B are both a number other than zero. The lcm is also known as the “lowest common denominator” (LCD) that can be used before fractions that can be added, subtracted, or compared.
The least common multiple of more than two integers a, b, c or more is usually denoted by lcm(a, b, c, . . .), is also well defined: It is also the smallest positive integer that can be divided by each of integers a, b, c.
When adding, subtracting, or comparing simple fractions, we use the least common multiple of the denominators (often called the lowest common denominator). Every individual fraction can be expressed as a fraction with this denominator. The Least common or lowest common denominators (LCD) can be calculated in two ways mentioned below; with the LCM formula calculation of the greatest common factor (GCF) or multiplying the prime factors with the highest exponent factor.
The Least common multiple (LCM) of 15 and 20 is 60.
The following calculation should be carried out.
=>GCF(15,20) = 5
=>LCM(15,20) = (15 × 20) / 5
=>LCM(15,20) = 300 / 5
=>LCM(15,20) = 60
This is how we can calculate the LCM of given numbers.
