What is the Least Common Multiple of 37521 and 37536?

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 37521 and 37536 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37521 and 37536, than apply into the LCM equation.

GCF(37521,37536) = 3
LCM(37521,37536) = ( 37521 × 37536) / 3
LCM(37521,37536) = 1408388256 / 3
LCM(37521,37536) = 469462752

Least Common Multiple (LCM) of 37521 and 37536 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37521 and 37536. First we will calculate the prime factors of 37521 and 37536.

Prime Factorization of 37521

Prime Factorization of 37536

Now multiplying the highest exponent prime factors to calculate the LCM of 37521 and 37536.

LCM(37521,37536) = 3² × 11¹ × 379¹ × 2⁵ × 17¹ × 23¹
LCM(37521,37536) = 469462752