What is the Least Common Multiple of 96728 and 96736?

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 96728 and 96736 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96728 and 96736, than apply into the LCM equation.

GCF(96728,96736) = 8
LCM(96728,96736) = ( 96728 × 96736) / 8
LCM(96728,96736) = 9357079808 / 8
LCM(96728,96736) = 1169634976

Least Common Multiple (LCM) of 96728 and 96736 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96728 and 96736. First we will calculate the prime factors of 96728 and 96736.

Prime Factorization of 96728

Prime Factorization of 96736

Now multiplying the highest exponent prime factors to calculate the LCM of 96728 and 96736.

LCM(96728,96736) = 2⁵ × 107¹ × 113¹ × 3023¹
LCM(96728,96736) = 1169634976