What is the Least Common Multiple of 96075 and 96090?

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 96090 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 96090, than apply into the LCM equation.

GCF(96075,96090) = 15
LCM(96075,96090) = ( 96075 × 96090) / 15
LCM(96075,96090) = 9231846750 / 15
LCM(96075,96090) = 615456450

Least Common Multiple (LCM) of 96075 and 96090 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96075 and 96090. First we will calculate the prime factors of 96075 and 96090.

Prime Factorization of 96075

Prime Factorization of 96090

Now multiplying the highest exponent prime factors to calculate the LCM of 96075 and 96090.

LCM(96075,96090) = 3² × 5² × 7¹ × 61¹ × 2¹ × 3203¹
LCM(96075,96090) = 615456450