What is the Least Common Multiple of 95792 and 95812?

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 95792 and 95812 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95792 and 95812, than apply into the LCM equation.

GCF(95792,95812) = 4
LCM(95792,95812) = ( 95792 × 95812) / 4
LCM(95792,95812) = 9178023104 / 4
LCM(95792,95812) = 2294505776

Least Common Multiple (LCM) of 95792 and 95812 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95792 and 95812. First we will calculate the prime factors of 95792 and 95812.

Prime Factorization of 95792

Prime Factorization of 95812

Now multiplying the highest exponent prime factors to calculate the LCM of 95792 and 95812.

LCM(95792,95812) = 2⁴ × 5987¹ × 17¹ × 1409¹
LCM(95792,95812) = 2294505776