What is the Least Common Multiple of 37428 and 37437?

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 37428 and 37437 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37428 and 37437, than apply into the LCM equation.

GCF(37428,37437) = 3
LCM(37428,37437) = ( 37428 × 37437) / 3
LCM(37428,37437) = 1401192036 / 3
LCM(37428,37437) = 467064012

Least Common Multiple (LCM) of 37428 and 37437 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37428 and 37437. First we will calculate the prime factors of 37428 and 37437.

Prime Factorization of 37428

Prime Factorization of 37437

Now multiplying the highest exponent prime factors to calculate the LCM of 37428 and 37437.

LCM(37428,37437) = 2² × 3¹ × 3119¹ × 12479¹
LCM(37428,37437) = 467064012