What is the Least Common Multiple of 92832 and 92846?

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 92832 and 92846 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92832 and 92846, than apply into the LCM equation.

GCF(92832,92846) = 2
LCM(92832,92846) = ( 92832 × 92846) / 2
LCM(92832,92846) = 8619079872 / 2
LCM(92832,92846) = 4309539936

Least Common Multiple (LCM) of 92832 and 92846 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92832 and 92846. First we will calculate the prime factors of 92832 and 92846.

Prime Factorization of 92832

Prime Factorization of 92846

Now multiplying the highest exponent prime factors to calculate the LCM of 92832 and 92846.

LCM(92832,92846) = 2⁵ × 3¹ × 967¹ × 13¹ × 3571¹
LCM(92832,92846) = 4309539936