What is the Least Common Multiple of 70509 and 70524?

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 70509 and 70524 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70509 and 70524, than apply into the LCM equation.

GCF(70509,70524) = 3
LCM(70509,70524) = ( 70509 × 70524) / 3
LCM(70509,70524) = 4972576716 / 3
LCM(70509,70524) = 1657525572

Least Common Multiple (LCM) of 70509 and 70524 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70509 and 70524. First we will calculate the prime factors of 70509 and 70524.

Prime Factorization of 70509

Prime Factorization of 70524

Now multiplying the highest exponent prime factors to calculate the LCM of 70509 and 70524.

LCM(70509,70524) = 3³ × 19¹ × 1237¹ × 2² × 653¹
LCM(70509,70524) = 1657525572