What is the Least Common Multiple of 36920 and 36930?

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 36920 and 36930 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36920 and 36930, than apply into the LCM equation.

GCF(36920,36930) = 10
LCM(36920,36930) = ( 36920 × 36930) / 10
LCM(36920,36930) = 1363455600 / 10
LCM(36920,36930) = 136345560

Least Common Multiple (LCM) of 36920 and 36930 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36920 and 36930. First we will calculate the prime factors of 36920 and 36930.

Prime Factorization of 36920

Prime Factorization of 36930

Now multiplying the highest exponent prime factors to calculate the LCM of 36920 and 36930.

LCM(36920,36930) = 2³ × 5¹ × 13¹ × 71¹ × 3¹ × 1231¹
LCM(36920,36930) = 136345560