What is the Least Common Multiple of 42048 and 42054?

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 42048 and 42054 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42048 and 42054, than apply into the LCM equation.

GCF(42048,42054) = 6
LCM(42048,42054) = ( 42048 × 42054) / 6
LCM(42048,42054) = 1768286592 / 6
LCM(42048,42054) = 294714432

Least Common Multiple (LCM) of 42048 and 42054 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42048 and 42054. First we will calculate the prime factors of 42048 and 42054.

Prime Factorization of 42048

Prime Factorization of 42054

Now multiplying the highest exponent prime factors to calculate the LCM of 42048 and 42054.

LCM(42048,42054) = 2⁶ × 3² × 73¹ × 43¹ × 163¹
LCM(42048,42054) = 294714432