What is the Least Common Multiple of 96975 and 96984?

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 96984 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 96984, than apply into the LCM equation.

GCF(96975,96984) = 9
LCM(96975,96984) = ( 96975 × 96984) / 9
LCM(96975,96984) = 9405023400 / 9
LCM(96975,96984) = 1045002600

Least Common Multiple (LCM) of 96975 and 96984 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96975 and 96984. First we will calculate the prime factors of 96975 and 96984.

Prime Factorization of 96975

Prime Factorization of 96984

Now multiplying the highest exponent prime factors to calculate the LCM of 96975 and 96984.

LCM(96975,96984) = 3³ × 5² × 431¹ × 2³ × 449¹
LCM(96975,96984) = 1045002600