What is the Least Common Multiple of 96975 and 96979?

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 96975 and 96979 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96975 and 96979, than apply into the LCM equation.

GCF(96975,96979) = 1
LCM(96975,96979) = ( 96975 × 96979) / 1
LCM(96975,96979) = 9404538525 / 1
LCM(96975,96979) = 9404538525

Least Common Multiple (LCM) of 96975 and 96979 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96975 and 96979. First we will calculate the prime factors of 96975 and 96979.

Prime Factorization of 96975

Prime Factorization of 96979

Now multiplying the highest exponent prime factors to calculate the LCM of 96975 and 96979.

LCM(96975,96979) = 3² × 5² × 431¹ × 96979¹
LCM(96975,96979) = 9404538525