What is the Least Common Multiple of 79404 and 79409?

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 79404 and 79409 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79404 and 79409, than apply into the LCM equation.

GCF(79404,79409) = 1
LCM(79404,79409) = ( 79404 × 79409) / 1
LCM(79404,79409) = 6305392236 / 1
LCM(79404,79409) = 6305392236

Least Common Multiple (LCM) of 79404 and 79409 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79404 and 79409. First we will calculate the prime factors of 79404 and 79409.

Prime Factorization of 79404

Prime Factorization of 79409

Now multiplying the highest exponent prime factors to calculate the LCM of 79404 and 79409.

LCM(79404,79409) = 2² × 3¹ × 13¹ × 509¹ × 11¹ × 7219¹
LCM(79404,79409) = 6305392236