What is the Least Common Multiple of 96975 and 96990?

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 96990 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 96990, than apply into the LCM equation.

GCF(96975,96990) = 15
LCM(96975,96990) = ( 96975 × 96990) / 15
LCM(96975,96990) = 9405605250 / 15
LCM(96975,96990) = 627040350

Least Common Multiple (LCM) of 96975 and 96990 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96975 and 96990. First we will calculate the prime factors of 96975 and 96990.

Prime Factorization of 96975

Prime Factorization of 96990

Now multiplying the highest exponent prime factors to calculate the LCM of 96975 and 96990.

LCM(96975,96990) = 3² × 5² × 431¹ × 2¹ × 53¹ × 61¹
LCM(96975,96990) = 627040350