What is the Least Common Multiple of 95906 and 95912?

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 95906 and 95912 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95906 and 95912, than apply into the LCM equation.

GCF(95906,95912) = 2
LCM(95906,95912) = ( 95906 × 95912) / 2
LCM(95906,95912) = 9198536272 / 2
LCM(95906,95912) = 4599268136

Least Common Multiple (LCM) of 95906 and 95912 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95906 and 95912. First we will calculate the prime factors of 95906 and 95912.

Prime Factorization of 95906

Prime Factorization of 95912

Now multiplying the highest exponent prime factors to calculate the LCM of 95906 and 95912.

LCM(95906,95912) = 2³ × 79¹ × 607¹ × 19¹ × 631¹
LCM(95906,95912) = 4599268136