What is the Least Common Multiple of 70344 and 70358?

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 70344 and 70358 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70344 and 70358, than apply into the LCM equation.

GCF(70344,70358) = 2
LCM(70344,70358) = ( 70344 × 70358) / 2
LCM(70344,70358) = 4949263152 / 2
LCM(70344,70358) = 2474631576

Least Common Multiple (LCM) of 70344 and 70358 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70344 and 70358. First we will calculate the prime factors of 70344 and 70358.

Prime Factorization of 70344

Prime Factorization of 70358

Now multiplying the highest exponent prime factors to calculate the LCM of 70344 and 70358.

LCM(70344,70358) = 2³ × 3² × 977¹ × 127¹ × 277¹
LCM(70344,70358) = 2474631576