What is the Least Common Multiple of 42804 and 42816?

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 42804 and 42816 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42804 and 42816, than apply into the LCM equation.

GCF(42804,42816) = 12
LCM(42804,42816) = ( 42804 × 42816) / 12
LCM(42804,42816) = 1832696064 / 12
LCM(42804,42816) = 152724672

Least Common Multiple (LCM) of 42804 and 42816 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42804 and 42816. First we will calculate the prime factors of 42804 and 42816.

Prime Factorization of 42804

Prime Factorization of 42816

Now multiplying the highest exponent prime factors to calculate the LCM of 42804 and 42816.

LCM(42804,42816) = 2⁶ × 3² × 29¹ × 41¹ × 223¹
LCM(42804,42816) = 152724672