What is the Least Common Multiple of 70291 and 70304?

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 70291 and 70304 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70291 and 70304, than apply into the LCM equation.

GCF(70291,70304) = 13
LCM(70291,70304) = ( 70291 × 70304) / 13
LCM(70291,70304) = 4941738464 / 13
LCM(70291,70304) = 380133728

Least Common Multiple (LCM) of 70291 and 70304 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70291 and 70304. First we will calculate the prime factors of 70291 and 70304.

Prime Factorization of 70291

Prime Factorization of 70304

Now multiplying the highest exponent prime factors to calculate the LCM of 70291 and 70304.

LCM(70291,70304) = 13³ × 5407¹ × 2⁵
LCM(70291,70304) = 380133728