What is the Least Common Multiple of 37725 and 37740?

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 37725 and 37740 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37725 and 37740, than apply into the LCM equation.

GCF(37725,37740) = 15
LCM(37725,37740) = ( 37725 × 37740) / 15
LCM(37725,37740) = 1423741500 / 15
LCM(37725,37740) = 94916100

Least Common Multiple (LCM) of 37725 and 37740 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37725 and 37740. First we will calculate the prime factors of 37725 and 37740.

Prime Factorization of 37725

Prime Factorization of 37740

Now multiplying the highest exponent prime factors to calculate the LCM of 37725 and 37740.

LCM(37725,37740) = 3¹ × 5² × 503¹ × 2² × 17¹ × 37¹
LCM(37725,37740) = 94916100