What is the Least Common Multiple of 59289 and 59304?

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 59289 and 59304 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59289 and 59304, than apply into the LCM equation.

GCF(59289,59304) = 3
LCM(59289,59304) = ( 59289 × 59304) / 3
LCM(59289,59304) = 3516074856 / 3
LCM(59289,59304) = 1172024952

Least Common Multiple (LCM) of 59289 and 59304 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59289 and 59304. First we will calculate the prime factors of 59289 and 59304.

Prime Factorization of 59289

Prime Factorization of 59304

Now multiplying the highest exponent prime factors to calculate the LCM of 59289 and 59304.

LCM(59289,59304) = 3¹ × 19763¹ × 2³ × 7¹ × 353¹
LCM(59289,59304) = 1172024952