What is the Least Common Multiple of 79404 and 79408?

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 79408 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 79408, than apply into the LCM equation.

GCF(79404,79408) = 4
LCM(79404,79408) = ( 79404 × 79408) / 4
LCM(79404,79408) = 6305312832 / 4
LCM(79404,79408) = 1576328208

Least Common Multiple (LCM) of 79404 and 79408 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79404 and 79408. First we will calculate the prime factors of 79404 and 79408.

Prime Factorization of 79404

Prime Factorization of 79408

Now multiplying the highest exponent prime factors to calculate the LCM of 79404 and 79408.

LCM(79404,79408) = 2⁴ × 3¹ × 13¹ × 509¹ × 7¹ × 709¹
LCM(79404,79408) = 1576328208