What is the Least Common Multiple of 96608 and 96628?

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 96608 and 96628 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96608 and 96628, than apply into the LCM equation.

GCF(96608,96628) = 4
LCM(96608,96628) = ( 96608 × 96628) / 4
LCM(96608,96628) = 9335037824 / 4
LCM(96608,96628) = 2333759456

Least Common Multiple (LCM) of 96608 and 96628 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96608 and 96628. First we will calculate the prime factors of 96608 and 96628.

Prime Factorization of 96608

Prime Factorization of 96628

Now multiplying the highest exponent prime factors to calculate the LCM of 96608 and 96628.

LCM(96608,96628) = 2⁵ × 3019¹ × 7² × 17¹ × 29¹
LCM(96608,96628) = 2333759456