What is the Least Common Multiple of 70506 and 70511?

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 70506 and 70511 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70506 and 70511, than apply into the LCM equation.

GCF(70506,70511) = 1
LCM(70506,70511) = ( 70506 × 70511) / 1
LCM(70506,70511) = 4971448566 / 1
LCM(70506,70511) = 4971448566

Least Common Multiple (LCM) of 70506 and 70511 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70506 and 70511. First we will calculate the prime factors of 70506 and 70511.

Prime Factorization of 70506

Prime Factorization of 70511

Now multiplying the highest exponent prime factors to calculate the LCM of 70506 and 70511.

LCM(70506,70511) = 2¹ × 3² × 3917¹ × 7² × 1439¹
LCM(70506,70511) = 4971448566