What is the Least Common Multiple of 79839 and 79854?

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 79839 and 79854 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79839 and 79854, than apply into the LCM equation.

GCF(79839,79854) = 3
LCM(79839,79854) = ( 79839 × 79854) / 3
LCM(79839,79854) = 6375463506 / 3
LCM(79839,79854) = 2125154502

Least Common Multiple (LCM) of 79839 and 79854 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79839 and 79854. First we will calculate the prime factors of 79839 and 79854.

Prime Factorization of 79839

Prime Factorization of 79854

Now multiplying the highest exponent prime factors to calculate the LCM of 79839 and 79854.

LCM(79839,79854) = 3³ × 2957¹ × 2¹ × 13309¹
LCM(79839,79854) = 2125154502