What is the Least Common Multiple of 42039 and 42048?

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 42039 and 42048 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42039 and 42048, than apply into the LCM equation.

GCF(42039,42048) = 9
LCM(42039,42048) = ( 42039 × 42048) / 9
LCM(42039,42048) = 1767655872 / 9
LCM(42039,42048) = 196406208

Least Common Multiple (LCM) of 42039 and 42048 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42039 and 42048. First we will calculate the prime factors of 42039 and 42048.

Prime Factorization of 42039

Prime Factorization of 42048

Now multiplying the highest exponent prime factors to calculate the LCM of 42039 and 42048.

LCM(42039,42048) = 3⁵ × 173¹ × 2⁶ × 73¹
LCM(42039,42048) = 196406208