What is the Least Common Multiple of 85947 and 85959?

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 85947 and 85959 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85947 and 85959, than apply into the LCM equation.

GCF(85947,85959) = 3
LCM(85947,85959) = ( 85947 × 85959) / 3
LCM(85947,85959) = 7387918173 / 3
LCM(85947,85959) = 2462639391

Least Common Multiple (LCM) of 85947 and 85959 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85947 and 85959. First we will calculate the prime factors of 85947 and 85959.

Prime Factorization of 85947

Prime Factorization of 85959

Now multiplying the highest exponent prime factors to calculate the LCM of 85947 and 85959.

LCM(85947,85959) = 3² × 28649¹ × 9551¹
LCM(85947,85959) = 2462639391