What is the Least Common Multiple of 95696 and 95704?

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 95704 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 95704, than apply into the LCM equation.

GCF(95696,95704) = 8
LCM(95696,95704) = ( 95696 × 95704) / 8
LCM(95696,95704) = 9158489984 / 8
LCM(95696,95704) = 1144811248

Least Common Multiple (LCM) of 95696 and 95704 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95696 and 95704. First we will calculate the prime factors of 95696 and 95704.

Prime Factorization of 95696

Prime Factorization of 95704

Now multiplying the highest exponent prime factors to calculate the LCM of 95696 and 95704.

LCM(95696,95704) = 2⁴ × 5981¹ × 7¹ × 1709¹
LCM(95696,95704) = 1144811248