What is the Least Common Multiple of 36840 and 36852?

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 36840 and 36852 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36840 and 36852, than apply into the LCM equation.

GCF(36840,36852) = 12
LCM(36840,36852) = ( 36840 × 36852) / 12
LCM(36840,36852) = 1357627680 / 12
LCM(36840,36852) = 113135640

Least Common Multiple (LCM) of 36840 and 36852 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36840 and 36852. First we will calculate the prime factors of 36840 and 36852.

Prime Factorization of 36840

Prime Factorization of 36852

Now multiplying the highest exponent prime factors to calculate the LCM of 36840 and 36852.

LCM(36840,36852) = 2³ × 3¹ × 5¹ × 307¹ × 37¹ × 83¹
LCM(36840,36852) = 113135640