What is the Least Common Multiple of 85996 and 86008?

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 85996 and 86008 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85996 and 86008, than apply into the LCM equation.

GCF(85996,86008) = 4
LCM(85996,86008) = ( 85996 × 86008) / 4
LCM(85996,86008) = 7396343968 / 4
LCM(85996,86008) = 1849085992

Least Common Multiple (LCM) of 85996 and 86008 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85996 and 86008. First we will calculate the prime factors of 85996 and 86008.

Prime Factorization of 85996

Prime Factorization of 86008

Now multiplying the highest exponent prime factors to calculate the LCM of 85996 and 86008.

LCM(85996,86008) = 2³ × 21499¹ × 13¹ × 827¹
LCM(85996,86008) = 1849085992