What is the Least Common Multiple of 37456 and 37472?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 37456 and 37472 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37456 and 37472, than apply into the LCM equation.

GCF(37456,37472) = 16
LCM(37456,37472) = ( 37456 × 37472) / 16
LCM(37456,37472) = 1403551232 / 16
LCM(37456,37472) = 87721952

Least Common Multiple (LCM) of 37456 and 37472 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37456 and 37472. First we will calculate the prime factors of 37456 and 37472.

Prime Factorization of 37456

Prime Factorization of 37472

Now multiplying the highest exponent prime factors to calculate the LCM of 37456 and 37472.

LCM(37456,37472) = 2⁵ × 2341¹ × 1171¹
LCM(37456,37472) = 87721952