What is the Least Common Multiple of 37524 and 37533?

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 37524 and 37533 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37524 and 37533, than apply into the LCM equation.

GCF(37524,37533) = 3
LCM(37524,37533) = ( 37524 × 37533) / 3
LCM(37524,37533) = 1408388292 / 3
LCM(37524,37533) = 469462764

Least Common Multiple (LCM) of 37524 and 37533 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37524 and 37533. First we will calculate the prime factors of 37524 and 37533.

Prime Factorization of 37524

Prime Factorization of 37533

Now multiplying the highest exponent prime factors to calculate the LCM of 37524 and 37533.

LCM(37524,37533) = 2² × 3¹ × 53¹ × 59¹ × 12511¹
LCM(37524,37533) = 469462764