What is the Least Common Multiple of 79674 and 79678?

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 79674 and 79678 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79674 and 79678, than apply into the LCM equation.

GCF(79674,79678) = 2
LCM(79674,79678) = ( 79674 × 79678) / 2
LCM(79674,79678) = 6348264972 / 2
LCM(79674,79678) = 3174132486

Least Common Multiple (LCM) of 79674 and 79678 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79674 and 79678. First we will calculate the prime factors of 79674 and 79678.

Prime Factorization of 79674

Prime Factorization of 79678

Now multiplying the highest exponent prime factors to calculate the LCM of 79674 and 79678.

LCM(79674,79678) = 2¹ × 3¹ × 7² × 271¹ × 39839¹
LCM(79674,79678) = 3174132486