What is the Least Common Multiple of 37524 and 37539?

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 37539 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 37539, than apply into the LCM equation.

GCF(37524,37539) = 3
LCM(37524,37539) = ( 37524 × 37539) / 3
LCM(37524,37539) = 1408613436 / 3
LCM(37524,37539) = 469537812

Least Common Multiple (LCM) of 37524 and 37539 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37524 and 37539. First we will calculate the prime factors of 37524 and 37539.

Prime Factorization of 37524

Prime Factorization of 37539

Now multiplying the highest exponent prime factors to calculate the LCM of 37524 and 37539.

LCM(37524,37539) = 2² × 3² × 53¹ × 59¹ × 43¹ × 97¹
LCM(37524,37539) = 469537812