What is the Least Common Multiple of 70524 and 70539?

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 70524 and 70539 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70524 and 70539, than apply into the LCM equation.

GCF(70524,70539) = 3
LCM(70524,70539) = ( 70524 × 70539) / 3
LCM(70524,70539) = 4974692436 / 3
LCM(70524,70539) = 1658230812

Least Common Multiple (LCM) of 70524 and 70539 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70524 and 70539. First we will calculate the prime factors of 70524 and 70539.

Prime Factorization of 70524

Prime Factorization of 70539

Now multiplying the highest exponent prime factors to calculate the LCM of 70524 and 70539.

LCM(70524,70539) = 2² × 3³ × 653¹ × 7¹ × 3359¹
LCM(70524,70539) = 1658230812