What is the Least Common Multiple of 86567 and 86580?

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 86567 and 86580 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86567 and 86580, than apply into the LCM equation.

GCF(86567,86580) = 13
LCM(86567,86580) = ( 86567 × 86580) / 13
LCM(86567,86580) = 7494970860 / 13
LCM(86567,86580) = 576536220

Least Common Multiple (LCM) of 86567 and 86580 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86567 and 86580. First we will calculate the prime factors of 86567 and 86580.

Prime Factorization of 86567

Prime Factorization of 86580

Now multiplying the highest exponent prime factors to calculate the LCM of 86567 and 86580.

LCM(86567,86580) = 13¹ × 6659¹ × 2² × 3² × 5¹ × 37¹
LCM(86567,86580) = 576536220