What is the Least Common Multiple of 36879 and 36885?

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 36879 and 36885 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36879 and 36885, than apply into the LCM equation.

GCF(36879,36885) = 3
LCM(36879,36885) = ( 36879 × 36885) / 3
LCM(36879,36885) = 1360281915 / 3
LCM(36879,36885) = 453427305

Least Common Multiple (LCM) of 36879 and 36885 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36879 and 36885. First we will calculate the prime factors of 36879 and 36885.

Prime Factorization of 36879

Prime Factorization of 36885

Now multiplying the highest exponent prime factors to calculate the LCM of 36879 and 36885.

LCM(36879,36885) = 3¹ × 19¹ × 647¹ × 5¹ × 2459¹
LCM(36879,36885) = 453427305