What is the Least Common Multiple of 70524 and 70533?

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 70533 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 70533, than apply into the LCM equation.

GCF(70524,70533) = 9
LCM(70524,70533) = ( 70524 × 70533) / 9
LCM(70524,70533) = 4974269292 / 9
LCM(70524,70533) = 552696588

Least Common Multiple (LCM) of 70524 and 70533 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70524 and 70533. First we will calculate the prime factors of 70524 and 70533.

Prime Factorization of 70524

Prime Factorization of 70533

Now multiplying the highest exponent prime factors to calculate the LCM of 70524 and 70533.

LCM(70524,70533) = 2² × 3³ × 653¹ × 17¹ × 461¹
LCM(70524,70533) = 552696588