What is the Least Common Multiple of 79409 and 79416?

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 79409 and 79416 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79409 and 79416, than apply into the LCM equation.

GCF(79409,79416) = 1
LCM(79409,79416) = ( 79409 × 79416) / 1
LCM(79409,79416) = 6306345144 / 1
LCM(79409,79416) = 6306345144

Least Common Multiple (LCM) of 79409 and 79416 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79409 and 79416. First we will calculate the prime factors of 79409 and 79416.

Prime Factorization of 79409

Prime Factorization of 79416

Now multiplying the highest exponent prime factors to calculate the LCM of 79409 and 79416.

LCM(79409,79416) = 11¹ × 7219¹ × 2³ × 3² × 1103¹
LCM(79409,79416) = 6306345144