What is the Least Common Multiple of 96075 and 96089?

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 96075 and 96089 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96075 and 96089, than apply into the LCM equation.

GCF(96075,96089) = 7
LCM(96075,96089) = ( 96075 × 96089) / 7
LCM(96075,96089) = 9231750675 / 7
LCM(96075,96089) = 1318821525

Least Common Multiple (LCM) of 96075 and 96089 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96075 and 96089. First we will calculate the prime factors of 96075 and 96089.

Prime Factorization of 96075

Prime Factorization of 96089

Now multiplying the highest exponent prime factors to calculate the LCM of 96075 and 96089.

LCM(96075,96089) = 3² × 5² × 7² × 61¹ × 37¹ × 53¹
LCM(96075,96089) = 1318821525