What is the Least Common Multiple of 70304 and 70312?

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 70304 and 70312 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70304 and 70312, than apply into the LCM equation.

GCF(70304,70312) = 8
LCM(70304,70312) = ( 70304 × 70312) / 8
LCM(70304,70312) = 4943214848 / 8
LCM(70304,70312) = 617901856

Least Common Multiple (LCM) of 70304 and 70312 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70304 and 70312. First we will calculate the prime factors of 70304 and 70312.

Prime Factorization of 70304

Prime Factorization of 70312

Now multiplying the highest exponent prime factors to calculate the LCM of 70304 and 70312.

LCM(70304,70312) = 2⁵ × 13³ × 11¹ × 17¹ × 47¹
LCM(70304,70312) = 617901856