What is the Least Common Multiple of 60219 and 60238?

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 60219 and 60238 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60219 and 60238, than apply into the LCM equation.

GCF(60219,60238) = 1
LCM(60219,60238) = ( 60219 × 60238) / 1
LCM(60219,60238) = 3627472122 / 1
LCM(60219,60238) = 3627472122

Least Common Multiple (LCM) of 60219 and 60238 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60219 and 60238. First we will calculate the prime factors of 60219 and 60238.

Prime Factorization of 60219

Prime Factorization of 60238

Now multiplying the highest exponent prime factors to calculate the LCM of 60219 and 60238.

LCM(60219,60238) = 3² × 6691¹ × 2¹ × 30119¹
LCM(60219,60238) = 3627472122