What is the Least Common Multiple of 70304 and 70314?

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 70314 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 70314, than apply into the LCM equation.

GCF(70304,70314) = 2
LCM(70304,70314) = ( 70304 × 70314) / 2
LCM(70304,70314) = 4943355456 / 2
LCM(70304,70314) = 2471677728

Least Common Multiple (LCM) of 70304 and 70314 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70304 and 70314. First we will calculate the prime factors of 70304 and 70314.

Prime Factorization of 70304

Prime Factorization of 70314

Now multiplying the highest exponent prime factors to calculate the LCM of 70304 and 70314.

LCM(70304,70314) = 2⁵ × 13³ × 3¹ × 11719¹
LCM(70304,70314) = 2471677728