What is the Least Common Multiple of 96966 and 96975?

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 96966 and 96975 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96966 and 96975, than apply into the LCM equation.

GCF(96966,96975) = 9
LCM(96966,96975) = ( 96966 × 96975) / 9
LCM(96966,96975) = 9403277850 / 9
LCM(96966,96975) = 1044808650

Least Common Multiple (LCM) of 96966 and 96975 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96966 and 96975. First we will calculate the prime factors of 96966 and 96975.

Prime Factorization of 96966

Prime Factorization of 96975

Now multiplying the highest exponent prime factors to calculate the LCM of 96966 and 96975.

LCM(96966,96975) = 2¹ × 3² × 5387¹ × 5² × 431¹
LCM(96966,96975) = 1044808650