What is the Least Common Multiple of 42416 and 42422?

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 42416 and 42422 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42416 and 42422, than apply into the LCM equation.

GCF(42416,42422) = 2
LCM(42416,42422) = ( 42416 × 42422) / 2
LCM(42416,42422) = 1799371552 / 2
LCM(42416,42422) = 899685776

Least Common Multiple (LCM) of 42416 and 42422 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42416 and 42422. First we will calculate the prime factors of 42416 and 42422.

Prime Factorization of 42416

Prime Factorization of 42422

Now multiplying the highest exponent prime factors to calculate the LCM of 42416 and 42422.

LCM(42416,42422) = 2⁴ × 11¹ × 241¹ × 21211¹
LCM(42416,42422) = 899685776