What is the Least Common Multiple of 82416 and 82422?

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 82416 and 82422 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82416 and 82422, than apply into the LCM equation.

GCF(82416,82422) = 6
LCM(82416,82422) = ( 82416 × 82422) / 6
LCM(82416,82422) = 6792891552 / 6
LCM(82416,82422) = 1132148592

Least Common Multiple (LCM) of 82416 and 82422 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82416 and 82422. First we will calculate the prime factors of 82416 and 82422.

Prime Factorization of 82416

Prime Factorization of 82422

Now multiplying the highest exponent prime factors to calculate the LCM of 82416 and 82422.

LCM(82416,82422) = 2⁴ × 3² × 17¹ × 101¹ × 19¹ × 241¹
LCM(82416,82422) = 1132148592