What is the Least Common Multiple of 79209 and 79214?

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 79209 and 79214 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79209 and 79214, than apply into the LCM equation.

GCF(79209,79214) = 1
LCM(79209,79214) = ( 79209 × 79214) / 1
LCM(79209,79214) = 6274461726 / 1
LCM(79209,79214) = 6274461726

Least Common Multiple (LCM) of 79209 and 79214 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79209 and 79214. First we will calculate the prime factors of 79209 and 79214.

Prime Factorization of 79209

Prime Factorization of 79214

Now multiplying the highest exponent prime factors to calculate the LCM of 79209 and 79214.

LCM(79209,79214) = 3² × 13¹ × 677¹ × 2¹ × 39607¹
LCM(79209,79214) = 6274461726