What is the Least Common Multiple of 95696 and 95716?

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 95696 and 95716 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95696 and 95716, than apply into the LCM equation.

GCF(95696,95716) = 4
LCM(95696,95716) = ( 95696 × 95716) / 4
LCM(95696,95716) = 9159638336 / 4
LCM(95696,95716) = 2289909584

Least Common Multiple (LCM) of 95696 and 95716 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95696 and 95716. First we will calculate the prime factors of 95696 and 95716.

Prime Factorization of 95696

Prime Factorization of 95716

Now multiplying the highest exponent prime factors to calculate the LCM of 95696 and 95716.

LCM(95696,95716) = 2⁴ × 5981¹ × 23929¹
LCM(95696,95716) = 2289909584