What is the Least Common Multiple of 70584 and 70604?

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 70584 and 70604 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70584 and 70604, than apply into the LCM equation.

GCF(70584,70604) = 4
LCM(70584,70604) = ( 70584 × 70604) / 4
LCM(70584,70604) = 4983512736 / 4
LCM(70584,70604) = 1245878184

Least Common Multiple (LCM) of 70584 and 70604 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70584 and 70604. First we will calculate the prime factors of 70584 and 70604.

Prime Factorization of 70584

Prime Factorization of 70604

Now multiplying the highest exponent prime factors to calculate the LCM of 70584 and 70604.

LCM(70584,70604) = 2³ × 3¹ × 17¹ × 173¹ × 19¹ × 929¹
LCM(70584,70604) = 1245878184