What is the Least Common Multiple of 30630 and 30635?

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 30635 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 30635, than apply into the LCM equation.

GCF(30630,30635) = 5
LCM(30630,30635) = ( 30630 × 30635) / 5
LCM(30630,30635) = 938350050 / 5
LCM(30630,30635) = 187670010

Least Common Multiple (LCM) of 30630 and 30635 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30630 and 30635. First we will calculate the prime factors of 30630 and 30635.

Prime Factorization of 30630

Prime Factorization of 30635

Now multiplying the highest exponent prime factors to calculate the LCM of 30630 and 30635.

LCM(30630,30635) = 2¹ × 3¹ × 5¹ × 1021¹ × 11¹ × 557¹
LCM(30630,30635) = 187670010