What’s the Lowest Common Multiple (LCM) of 12 and 15

H1: What’s the lowest common multiple (lcm) of 12 and 15?

Answer: LCM is the product of every common prime factor’s highest power. Consider the primary ten multiples 12 and 15:

12, 24, 36, 48, 60, 72, 84, 96, 108, 120 are the primary ten multiples of 12. 

15, 30, 45, 60, 75, 90, 105, 120, 135, 150 are the primary ten multiples of 15. 

Continue expanding these lists of multiples until you discover a match. Once you find a match (or numerous matches), the smallest number is the LCM. 60, 120, and 180, for instance, are the primary common multiples of 12 and 15. 60 is the least whole number because it’s the smallest.

Another method to search out the LCM is the prime factorization method- PRIME FACTORIZATION- A number will be expressed as a composite of its prime factors using prime factorization. Prime factorization is the technique of expressing numbers as the product of prime numbers. Prime numbers are those with which any number will be represented as a product of prime numbers using prime factorization. 

The following are the 2 most vital uses of prime factorization.

1. Prime factorization and cryptography 

2. Prime Factorization in HCF and LCM NOW,

Let’s examine the prime factors of the two numbers separately. 12 = 2 x 2 x 3 and 15 = 3 x 5 Multiply each factor by the amount of times it appears the foremost in either number. = 2 X 2 X 3 X 5 LCM (12 and 15) = 60.