What is the Least Common Multiple of 59185 and 59204?

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 59185 and 59204 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59185 and 59204, than apply into the LCM equation.

GCF(59185,59204) = 19
LCM(59185,59204) = ( 59185 × 59204) / 19
LCM(59185,59204) = 3503988740 / 19
LCM(59185,59204) = 184420460

Least Common Multiple (LCM) of 59185 and 59204 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59185 and 59204. First we will calculate the prime factors of 59185 and 59204.

Prime Factorization of 59185

Prime Factorization of 59204

Now multiplying the highest exponent prime factors to calculate the LCM of 59185 and 59204.

LCM(59185,59204) = 5¹ × 7¹ × 19² × 89¹ × 2² × 41¹
LCM(59185,59204) = 184420460