What is the Least Common Multiple of 95696 and 95708?

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 95708 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 95708, than apply into the LCM equation.

GCF(95696,95708) = 4
LCM(95696,95708) = ( 95696 × 95708) / 4
LCM(95696,95708) = 9158872768 / 4
LCM(95696,95708) = 2289718192

Least Common Multiple (LCM) of 95696 and 95708 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95696 and 95708. First we will calculate the prime factors of 95696 and 95708.

Prime Factorization of 95696

Prime Factorization of 95708

Now multiplying the highest exponent prime factors to calculate the LCM of 95696 and 95708.

LCM(95696,95708) = 2⁴ × 5981¹ × 71¹ × 337¹
LCM(95696,95708) = 2289718192