What is the Least Common Multiple of 59189 and 59196?

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 59189 and 59196 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59189 and 59196, than apply into the LCM equation.

GCF(59189,59196) = 1
LCM(59189,59196) = ( 59189 × 59196) / 1
LCM(59189,59196) = 3503752044 / 1
LCM(59189,59196) = 3503752044

Least Common Multiple (LCM) of 59189 and 59196 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59189 and 59196. First we will calculate the prime factors of 59189 and 59196.

Prime Factorization of 59189

Prime Factorization of 59196

Now multiplying the highest exponent prime factors to calculate the LCM of 59189 and 59196.

LCM(59189,59196) = 13¹ × 29¹ × 157¹ × 2² × 3¹ × 4933¹
LCM(59189,59196) = 3503752044