What is the Least Common Multiple of 59204 and 59223?

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 59204 and 59223 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59204 and 59223, than apply into the LCM equation.

GCF(59204,59223) = 19
LCM(59204,59223) = ( 59204 × 59223) / 19
LCM(59204,59223) = 3506238492 / 19
LCM(59204,59223) = 184538868

Least Common Multiple (LCM) of 59204 and 59223 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59204 and 59223. First we will calculate the prime factors of 59204 and 59223.

Prime Factorization of 59204

Prime Factorization of 59223

Now multiplying the highest exponent prime factors to calculate the LCM of 59204 and 59223.

LCM(59204,59223) = 2² × 19² × 41¹ × 3¹ × 1039¹
LCM(59204,59223) = 184538868