What is the Least Common Multiple of 96048 and 96054?

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 96048 and 96054 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96048 and 96054, than apply into the LCM equation.

GCF(96048,96054) = 6
LCM(96048,96054) = ( 96048 × 96054) / 6
LCM(96048,96054) = 9225794592 / 6
LCM(96048,96054) = 1537632432

Least Common Multiple (LCM) of 96048 and 96054 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96048 and 96054. First we will calculate the prime factors of 96048 and 96054.

Prime Factorization of 96048

Prime Factorization of 96054

Now multiplying the highest exponent prime factors to calculate the LCM of 96048 and 96054.

LCM(96048,96054) = 2⁴ × 3² × 23¹ × 29¹ × 7¹ × 2287¹
LCM(96048,96054) = 1537632432