What is the Least Common Multiple of 92728 and 92746?

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 92728 and 92746 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92728 and 92746, than apply into the LCM equation.

GCF(92728,92746) = 2
LCM(92728,92746) = ( 92728 × 92746) / 2
LCM(92728,92746) = 8600151088 / 2
LCM(92728,92746) = 4300075544

Least Common Multiple (LCM) of 92728 and 92746 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92728 and 92746. First we will calculate the prime factors of 92728 and 92746.

Prime Factorization of 92728

Prime Factorization of 92746

Now multiplying the highest exponent prime factors to calculate the LCM of 92728 and 92746.

LCM(92728,92746) = 2³ × 67¹ × 173¹ × 79¹ × 587¹
LCM(92728,92746) = 4300075544