What is the Least Common Multiple of 60213 and 60231?

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 60213 and 60231 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60213 and 60231, than apply into the LCM equation.

GCF(60213,60231) = 3
LCM(60213,60231) = ( 60213 × 60231) / 3
LCM(60213,60231) = 3626689203 / 3
LCM(60213,60231) = 1208896401

Least Common Multiple (LCM) of 60213 and 60231 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60213 and 60231. First we will calculate the prime factors of 60213 and 60231.

Prime Factorization of 60213

Prime Factorization of 60231

Now multiplying the highest exponent prime factors to calculate the LCM of 60213 and 60231.

LCM(60213,60231) = 3¹ × 20071¹ × 17¹ × 1181¹
LCM(60213,60231) = 1208896401