What is the Least Common Multiple of 42384 and 42392?

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 42384 and 42392 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42384 and 42392, than apply into the LCM equation.

GCF(42384,42392) = 8
LCM(42384,42392) = ( 42384 × 42392) / 8
LCM(42384,42392) = 1796742528 / 8
LCM(42384,42392) = 224592816

Least Common Multiple (LCM) of 42384 and 42392 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42384 and 42392. First we will calculate the prime factors of 42384 and 42392.

Prime Factorization of 42384

Prime Factorization of 42392

Now multiplying the highest exponent prime factors to calculate the LCM of 42384 and 42392.

LCM(42384,42392) = 2⁴ × 3¹ × 883¹ × 7¹ × 757¹
LCM(42384,42392) = 224592816