What is the Least Common Multiple of 37472 and 37480?

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 37472 and 37480 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37472 and 37480, than apply into the LCM equation.

GCF(37472,37480) = 8
LCM(37472,37480) = ( 37472 × 37480) / 8
LCM(37472,37480) = 1404450560 / 8
LCM(37472,37480) = 175556320

Least Common Multiple (LCM) of 37472 and 37480 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37472 and 37480. First we will calculate the prime factors of 37472 and 37480.

Prime Factorization of 37472

Prime Factorization of 37480

Now multiplying the highest exponent prime factors to calculate the LCM of 37472 and 37480.

LCM(37472,37480) = 2⁵ × 1171¹ × 5¹ × 937¹
LCM(37472,37480) = 175556320