What is the Least Common Multiple of 95728 and 95746?

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 95728 and 95746 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95728 and 95746, than apply into the LCM equation.

GCF(95728,95746) = 2
LCM(95728,95746) = ( 95728 × 95746) / 2
LCM(95728,95746) = 9165573088 / 2
LCM(95728,95746) = 4582786544

Least Common Multiple (LCM) of 95728 and 95746 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95728 and 95746. First we will calculate the prime factors of 95728 and 95746.

Prime Factorization of 95728

Prime Factorization of 95746

Now multiplying the highest exponent prime factors to calculate the LCM of 95728 and 95746.

LCM(95728,95746) = 2⁴ × 31¹ × 193¹ × 7² × 977¹
LCM(95728,95746) = 4582786544