What is the Least Common Multiple of 48048 and 48054?

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 48048 and 48054 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48048 and 48054, than apply into the LCM equation.

GCF(48048,48054) = 6
LCM(48048,48054) = ( 48048 × 48054) / 6
LCM(48048,48054) = 2308898592 / 6
LCM(48048,48054) = 384816432

Least Common Multiple (LCM) of 48048 and 48054 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48048 and 48054. First we will calculate the prime factors of 48048 and 48054.

Prime Factorization of 48048

Prime Factorization of 48054

Now multiplying the highest exponent prime factors to calculate the LCM of 48048 and 48054.

LCM(48048,48054) = 2⁴ × 3¹ × 7¹ × 11¹ × 13¹ × 8009¹
LCM(48048,48054) = 384816432