What is the Least Common Multiple of 36870 and 36886?

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 36886 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 36886, than apply into the LCM equation.

GCF(36870,36886) = 2
LCM(36870,36886) = ( 36870 × 36886) / 2
LCM(36870,36886) = 1359986820 / 2
LCM(36870,36886) = 679993410

Least Common Multiple (LCM) of 36870 and 36886 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36870 and 36886. First we will calculate the prime factors of 36870 and 36886.

Prime Factorization of 36870

Prime Factorization of 36886

Now multiplying the highest exponent prime factors to calculate the LCM of 36870 and 36886.

LCM(36870,36886) = 2¹ × 3¹ × 5¹ × 1229¹ × 18443¹
LCM(36870,36886) = 679993410