What is the Least Common Multiple of 37484 and 37488?

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 37484 and 37488 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37484 and 37488, than apply into the LCM equation.

GCF(37484,37488) = 4
LCM(37484,37488) = ( 37484 × 37488) / 4
LCM(37484,37488) = 1405200192 / 4
LCM(37484,37488) = 351300048

Least Common Multiple (LCM) of 37484 and 37488 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37484 and 37488. First we will calculate the prime factors of 37484 and 37488.

Prime Factorization of 37484

Prime Factorization of 37488

Now multiplying the highest exponent prime factors to calculate the LCM of 37484 and 37488.

LCM(37484,37488) = 2⁴ × 9371¹ × 3¹ × 11¹ × 71¹
LCM(37484,37488) = 351300048