What is the Least Common Multiple of 86564 and 86577?

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 86564 and 86577 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86564 and 86577, than apply into the LCM equation.

GCF(86564,86577) = 1
LCM(86564,86577) = ( 86564 × 86577) / 1
LCM(86564,86577) = 7494451428 / 1
LCM(86564,86577) = 7494451428

Least Common Multiple (LCM) of 86564 and 86577 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86564 and 86577. First we will calculate the prime factors of 86564 and 86577.

Prime Factorization of 86564

Prime Factorization of 86577

Now multiplying the highest exponent prime factors to calculate the LCM of 86564 and 86577.

LCM(86564,86577) = 2² × 17¹ × 19¹ × 67¹ × 3¹ × 28859¹
LCM(86564,86577) = 7494451428