What is the Least Common Multiple of 79342 and 79360?

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 79342 and 79360 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79342 and 79360, than apply into the LCM equation.

GCF(79342,79360) = 2
LCM(79342,79360) = ( 79342 × 79360) / 2
LCM(79342,79360) = 6296581120 / 2
LCM(79342,79360) = 3148290560

Least Common Multiple (LCM) of 79342 and 79360 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79342 and 79360. First we will calculate the prime factors of 79342 and 79360.

Prime Factorization of 79342

Prime Factorization of 79360

Now multiplying the highest exponent prime factors to calculate the LCM of 79342 and 79360.

LCM(79342,79360) = 2⁹ × 39671¹ × 5¹ × 31¹
LCM(79342,79360) = 3148290560