What is the Least Common Multiple of 70508 and 70521?

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 70508 and 70521 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70508 and 70521, than apply into the LCM equation.

GCF(70508,70521) = 1
LCM(70508,70521) = ( 70508 × 70521) / 1
LCM(70508,70521) = 4972294668 / 1
LCM(70508,70521) = 4972294668

Least Common Multiple (LCM) of 70508 and 70521 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70508 and 70521. First we will calculate the prime factors of 70508 and 70521.

Prime Factorization of 70508

Prime Factorization of 70521

Now multiplying the highest exponent prime factors to calculate the LCM of 70508 and 70521.

LCM(70508,70521) = 2² × 17627¹ × 3¹ × 11¹ × 2137¹
LCM(70508,70521) = 4972294668