What is the Least Common Multiple of 96972 and 96982?

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 96972 and 96982 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96972 and 96982, than apply into the LCM equation.

GCF(96972,96982) = 2
LCM(96972,96982) = ( 96972 × 96982) / 2
LCM(96972,96982) = 9404538504 / 2
LCM(96972,96982) = 4702269252

Least Common Multiple (LCM) of 96972 and 96982 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96972 and 96982. First we will calculate the prime factors of 96972 and 96982.

Prime Factorization of 96972

Prime Factorization of 96982

Now multiplying the highest exponent prime factors to calculate the LCM of 96972 and 96982.

LCM(96972,96982) = 2² × 3¹ × 8081¹ × 48491¹
LCM(96972,96982) = 4702269252