What is the Least Common Multiple of 85947 and 85956?

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 85956 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 85956, than apply into the LCM equation.

GCF(85947,85956) = 3
LCM(85947,85956) = ( 85947 × 85956) / 3
LCM(85947,85956) = 7387660332 / 3
LCM(85947,85956) = 2462553444

Least Common Multiple (LCM) of 85947 and 85956 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85947 and 85956. First we will calculate the prime factors of 85947 and 85956.

Prime Factorization of 85947

Prime Factorization of 85956

Now multiplying the highest exponent prime factors to calculate the LCM of 85947 and 85956.

LCM(85947,85956) = 3¹ × 28649¹ × 2² × 13¹ × 19¹ × 29¹
LCM(85947,85956) = 2462553444