What is the Least Common Multiple of 70309 and 70313?

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 70309 and 70313 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70309 and 70313, than apply into the LCM equation.

GCF(70309,70313) = 1
LCM(70309,70313) = ( 70309 × 70313) / 1
LCM(70309,70313) = 4943636717 / 1
LCM(70309,70313) = 4943636717

Least Common Multiple (LCM) of 70309 and 70313 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70309 and 70313. First we will calculate the prime factors of 70309 and 70313.

Prime Factorization of 70309

Prime Factorization of 70313

Now multiplying the highest exponent prime factors to calculate the LCM of 70309 and 70313.

LCM(70309,70313) = 70309¹ × 70313¹
LCM(70309,70313) = 4943636717