What is the Least Common Multiple of 59584 and 59603?

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 59603 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 59603, than apply into the LCM equation.

GCF(59584,59603) = 19
LCM(59584,59603) = ( 59584 × 59603) / 19
LCM(59584,59603) = 3551385152 / 19
LCM(59584,59603) = 186915008

Least Common Multiple (LCM) of 59584 and 59603 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59584 and 59603. First we will calculate the prime factors of 59584 and 59603.

Prime Factorization of 59584

Prime Factorization of 59603

Now multiplying the highest exponent prime factors to calculate the LCM of 59584 and 59603.

LCM(59584,59603) = 2⁶ × 7² × 19¹ × 3137¹
LCM(59584,59603) = 186915008