What is the Least Common Multiple of 36870 and 36884?

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 36870 and 36884 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36870 and 36884, than apply into the LCM equation.

GCF(36870,36884) = 2
LCM(36870,36884) = ( 36870 × 36884) / 2
LCM(36870,36884) = 1359913080 / 2
LCM(36870,36884) = 679956540

Least Common Multiple (LCM) of 36870 and 36884 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36870 and 36884. First we will calculate the prime factors of 36870 and 36884.

Prime Factorization of 36870

Prime Factorization of 36884

Now multiplying the highest exponent prime factors to calculate the LCM of 36870 and 36884.

LCM(36870,36884) = 2² × 3¹ × 5¹ × 1229¹ × 9221¹
LCM(36870,36884) = 679956540