What is the Least Common Multiple of 30630 and 30645?

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 30630 and 30645 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30630 and 30645, than apply into the LCM equation.

GCF(30630,30645) = 15
LCM(30630,30645) = ( 30630 × 30645) / 15
LCM(30630,30645) = 938656350 / 15
LCM(30630,30645) = 62577090

Least Common Multiple (LCM) of 30630 and 30645 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30630 and 30645. First we will calculate the prime factors of 30630 and 30645.

Prime Factorization of 30630

Prime Factorization of 30645

Now multiplying the highest exponent prime factors to calculate the LCM of 30630 and 30645.

LCM(30630,30645) = 2¹ × 3³ × 5¹ × 1021¹ × 227¹
LCM(30630,30645) = 62577090