What is the Least Common Multiple of 95980 and 95996?

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 95980 and 95996 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95980 and 95996, than apply into the LCM equation.

GCF(95980,95996) = 4
LCM(95980,95996) = ( 95980 × 95996) / 4
LCM(95980,95996) = 9213696080 / 4
LCM(95980,95996) = 2303424020

Least Common Multiple (LCM) of 95980 and 95996 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95980 and 95996. First we will calculate the prime factors of 95980 and 95996.

Prime Factorization of 95980

Prime Factorization of 95996

Now multiplying the highest exponent prime factors to calculate the LCM of 95980 and 95996.

LCM(95980,95996) = 2² × 5¹ × 4799¹ × 103¹ × 233¹
LCM(95980,95996) = 2303424020