What is the Least Common Multiple of 66048 and 66054?

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 66048 and 66054 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66048 and 66054, than apply into the LCM equation.

GCF(66048,66054) = 6
LCM(66048,66054) = ( 66048 × 66054) / 6
LCM(66048,66054) = 4362734592 / 6
LCM(66048,66054) = 727122432

Least Common Multiple (LCM) of 66048 and 66054 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66048 and 66054. First we will calculate the prime factors of 66048 and 66054.

Prime Factorization of 66048

Prime Factorization of 66054

Now multiplying the highest exponent prime factors to calculate the LCM of 66048 and 66054.

LCM(66048,66054) = 2⁹ × 3¹ × 43¹ × 101¹ × 109¹
LCM(66048,66054) = 727122432