What is the Least Common Multiple of 37725 and 37730?

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 37730 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 37730, than apply into the LCM equation.

GCF(37725,37730) = 5
LCM(37725,37730) = ( 37725 × 37730) / 5
LCM(37725,37730) = 1423364250 / 5
LCM(37725,37730) = 284672850

Least Common Multiple (LCM) of 37725 and 37730 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37725 and 37730. First we will calculate the prime factors of 37725 and 37730.

Prime Factorization of 37725

Prime Factorization of 37730

Now multiplying the highest exponent prime factors to calculate the LCM of 37725 and 37730.

LCM(37725,37730) = 3¹ × 5² × 503¹ × 2¹ × 7³ × 11¹
LCM(37725,37730) = 284672850