What is the Least Common Multiple of 86139 and 86156?

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 86139 and 86156 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86139 and 86156, than apply into the LCM equation.

GCF(86139,86156) = 17
LCM(86139,86156) = ( 86139 × 86156) / 17
LCM(86139,86156) = 7421391684 / 17
LCM(86139,86156) = 436552452

Least Common Multiple (LCM) of 86139 and 86156 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86139 and 86156. First we will calculate the prime factors of 86139 and 86156.

Prime Factorization of 86139

Prime Factorization of 86156

Now multiplying the highest exponent prime factors to calculate the LCM of 86139 and 86156.

LCM(86139,86156) = 3² × 17¹ × 563¹ × 2² × 7¹ × 181¹
LCM(86139,86156) = 436552452