What is the Least Common Multiple of 79336 and 79340?

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 79336 and 79340 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79336 and 79340, than apply into the LCM equation.

GCF(79336,79340) = 4
LCM(79336,79340) = ( 79336 × 79340) / 4
LCM(79336,79340) = 6294518240 / 4
LCM(79336,79340) = 1573629560

Least Common Multiple (LCM) of 79336 and 79340 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79336 and 79340. First we will calculate the prime factors of 79336 and 79340.

Prime Factorization of 79336

Prime Factorization of 79340

Now multiplying the highest exponent prime factors to calculate the LCM of 79336 and 79340.

LCM(79336,79340) = 2³ × 47¹ × 211¹ × 5¹ × 3967¹
LCM(79336,79340) = 1573629560