What is the Least Common Multiple of 79264 and 79282?

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 79264 and 79282 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79264 and 79282, than apply into the LCM equation.

GCF(79264,79282) = 2
LCM(79264,79282) = ( 79264 × 79282) / 2
LCM(79264,79282) = 6284208448 / 2
LCM(79264,79282) = 3142104224

Least Common Multiple (LCM) of 79264 and 79282 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79264 and 79282. First we will calculate the prime factors of 79264 and 79282.

Prime Factorization of 79264

Prime Factorization of 79282

Now multiplying the highest exponent prime factors to calculate the LCM of 79264 and 79282.

LCM(79264,79282) = 2⁵ × 2477¹ × 7² × 809¹
LCM(79264,79282) = 3142104224