What is the Least Common Multiple of 86568 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 86568 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 86568 and 86580, than apply into the LCM equation.

GCF(86568,86580) = 12
LCM(86568,86580) = ( 86568 × 86580) / 12
LCM(86568,86580) = 7495057440 / 12
LCM(86568,86580) = 624588120

Least Common Multiple (LCM) of 86568 and 86580 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86568 and 86580. First we will calculate the prime factors of 86568 and 86580.

Prime Factorization of 86568

Prime Factorization of 86580

Now multiplying the highest exponent prime factors to calculate the LCM of 86568 and 86580.

LCM(86568,86580) = 2³ × 3² × 3607¹ × 5¹ × 13¹ × 37¹
LCM(86568,86580) = 624588120