What is the Least Common Multiple of 79344 and 79354?

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 79344 and 79354 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79344 and 79354, than apply into the LCM equation.

GCF(79344,79354) = 2
LCM(79344,79354) = ( 79344 × 79354) / 2
LCM(79344,79354) = 6296263776 / 2
LCM(79344,79354) = 3148131888

Least Common Multiple (LCM) of 79344 and 79354 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79344 and 79354. First we will calculate the prime factors of 79344 and 79354.

Prime Factorization of 79344

Prime Factorization of 79354

Now multiplying the highest exponent prime factors to calculate the LCM of 79344 and 79354.

LCM(79344,79354) = 2⁴ × 3² × 19¹ × 29¹ × 11¹ × 3607¹
LCM(79344,79354) = 3148131888