What is the Least Common Multiple of 96054 and 96068?

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 96054 and 96068 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96054 and 96068, than apply into the LCM equation.

GCF(96054,96068) = 14
LCM(96054,96068) = ( 96054 × 96068) / 14
LCM(96054,96068) = 9227715672 / 14
LCM(96054,96068) = 659122548

Least Common Multiple (LCM) of 96054 and 96068 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96054 and 96068. First we will calculate the prime factors of 96054 and 96068.

Prime Factorization of 96054

Prime Factorization of 96068

Now multiplying the highest exponent prime factors to calculate the LCM of 96054 and 96068.

LCM(96054,96068) = 2² × 3¹ × 7¹ × 2287¹ × 47¹ × 73¹
LCM(96054,96068) = 659122548