What is the Least Common Multiple of 36630 and 36635?

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 36630 and 36635 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36630 and 36635, than apply into the LCM equation.

GCF(36630,36635) = 5
LCM(36630,36635) = ( 36630 × 36635) / 5
LCM(36630,36635) = 1341940050 / 5
LCM(36630,36635) = 268388010

Least Common Multiple (LCM) of 36630 and 36635 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36630 and 36635. First we will calculate the prime factors of 36630 and 36635.

Prime Factorization of 36630

Prime Factorization of 36635

Now multiplying the highest exponent prime factors to calculate the LCM of 36630 and 36635.

LCM(36630,36635) = 2¹ × 3² × 5¹ × 11¹ × 37¹ × 17¹ × 431¹
LCM(36630,36635) = 268388010