What is the Least Common Multiple of 36630 and 36640?

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 36640 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 36640, than apply into the LCM equation.

GCF(36630,36640) = 10
LCM(36630,36640) = ( 36630 × 36640) / 10
LCM(36630,36640) = 1342123200 / 10
LCM(36630,36640) = 134212320

Least Common Multiple (LCM) of 36630 and 36640 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36630 and 36640. First we will calculate the prime factors of 36630 and 36640.

Prime Factorization of 36630

Prime Factorization of 36640

Now multiplying the highest exponent prime factors to calculate the LCM of 36630 and 36640.

LCM(36630,36640) = 2⁵ × 3² × 5¹ × 11¹ × 37¹ × 229¹
LCM(36630,36640) = 134212320