What is the Least Common Multiple of 95960 and 95977?

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 95960 and 95977 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95960 and 95977, than apply into the LCM equation.

GCF(95960,95977) = 1
LCM(95960,95977) = ( 95960 × 95977) / 1
LCM(95960,95977) = 9209952920 / 1
LCM(95960,95977) = 9209952920

Least Common Multiple (LCM) of 95960 and 95977 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95960 and 95977. First we will calculate the prime factors of 95960 and 95977.

Prime Factorization of 95960

Prime Factorization of 95977

Now multiplying the highest exponent prime factors to calculate the LCM of 95960 and 95977.

LCM(95960,95977) = 2³ × 5¹ × 2399¹ × 7¹ × 13711¹
LCM(95960,95977) = 9209952920