What is the Least Common Multiple of 70572 and 70584?

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 70572 and 70584 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70572 and 70584, than apply into the LCM equation.

GCF(70572,70584) = 12
LCM(70572,70584) = ( 70572 × 70584) / 12
LCM(70572,70584) = 4981254048 / 12
LCM(70572,70584) = 415104504

Least Common Multiple (LCM) of 70572 and 70584 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70572 and 70584. First we will calculate the prime factors of 70572 and 70584.

Prime Factorization of 70572

Prime Factorization of 70584

Now multiplying the highest exponent prime factors to calculate the LCM of 70572 and 70584.

LCM(70572,70584) = 2³ × 3¹ × 5881¹ × 17¹ × 173¹
LCM(70572,70584) = 415104504