What is the Least Common Multiple of 36720 and 36732?

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 36720 and 36732 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36720 and 36732, than apply into the LCM equation.

GCF(36720,36732) = 12
LCM(36720,36732) = ( 36720 × 36732) / 12
LCM(36720,36732) = 1348799040 / 12
LCM(36720,36732) = 112399920

Least Common Multiple (LCM) of 36720 and 36732 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36720 and 36732. First we will calculate the prime factors of 36720 and 36732.

Prime Factorization of 36720

Prime Factorization of 36732

Now multiplying the highest exponent prime factors to calculate the LCM of 36720 and 36732.

LCM(36720,36732) = 2⁴ × 3³ × 5¹ × 17¹ × 3061¹
LCM(36720,36732) = 112399920