What is the Least Common Multiple of 59584 and 59602?

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 59584 and 59602 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59584 and 59602, than apply into the LCM equation.

GCF(59584,59602) = 2
LCM(59584,59602) = ( 59584 × 59602) / 2
LCM(59584,59602) = 3551325568 / 2
LCM(59584,59602) = 1775662784

Least Common Multiple (LCM) of 59584 and 59602 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59584 and 59602. First we will calculate the prime factors of 59584 and 59602.

Prime Factorization of 59584

Prime Factorization of 59602

Now multiplying the highest exponent prime factors to calculate the LCM of 59584 and 59602.

LCM(59584,59602) = 2⁶ × 7² × 19¹ × 17¹ × 1753¹
LCM(59584,59602) = 1775662784