What is the Least Common Multiple of 70584 and 70602?

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 70602 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 70602, than apply into the LCM equation.

GCF(70584,70602) = 6
LCM(70584,70602) = ( 70584 × 70602) / 6
LCM(70584,70602) = 4983371568 / 6
LCM(70584,70602) = 830561928

Least Common Multiple (LCM) of 70584 and 70602 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70584 and 70602. First we will calculate the prime factors of 70584 and 70602.

Prime Factorization of 70584

Prime Factorization of 70602

Now multiplying the highest exponent prime factors to calculate the LCM of 70584 and 70602.

LCM(70584,70602) = 2³ × 3¹ × 17¹ × 173¹ × 7¹ × 41²
LCM(70584,70602) = 830561928