What is the Least Common Multiple of 59392 and 59404?

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 59392 and 59404 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59392 and 59404, than apply into the LCM equation.

GCF(59392,59404) = 4
LCM(59392,59404) = ( 59392 × 59404) / 4
LCM(59392,59404) = 3528122368 / 4
LCM(59392,59404) = 882030592

Least Common Multiple (LCM) of 59392 and 59404 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59392 and 59404. First we will calculate the prime factors of 59392 and 59404.

Prime Factorization of 59392

Prime Factorization of 59404

Now multiplying the highest exponent prime factors to calculate the LCM of 59392 and 59404.

LCM(59392,59404) = 2¹¹ × 29¹ × 14851¹
LCM(59392,59404) = 882030592