What is the Least Common Multiple of 70313 and 70329?

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 70313 and 70329 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70313 and 70329, than apply into the LCM equation.

GCF(70313,70329) = 1
LCM(70313,70329) = ( 70313 × 70329) / 1
LCM(70313,70329) = 4945042977 / 1
LCM(70313,70329) = 4945042977

Least Common Multiple (LCM) of 70313 and 70329 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70313 and 70329. First we will calculate the prime factors of 70313 and 70329.

Prime Factorization of 70313

Prime Factorization of 70329

Now multiplying the highest exponent prime factors to calculate the LCM of 70313 and 70329.

LCM(70313,70329) = 70313¹ × 3¹ × 7¹ × 17¹ × 197¹
LCM(70313,70329) = 4945042977