What is the Least Common Multiple of 68204 and 68219?

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 68204 and 68219 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68204 and 68219, than apply into the LCM equation.

GCF(68204,68219) = 1
LCM(68204,68219) = ( 68204 × 68219) / 1
LCM(68204,68219) = 4652808676 / 1
LCM(68204,68219) = 4652808676

Least Common Multiple (LCM) of 68204 and 68219 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68204 and 68219. First we will calculate the prime factors of 68204 and 68219.

Prime Factorization of 68204

Prime Factorization of 68219

Now multiplying the highest exponent prime factors to calculate the LCM of 68204 and 68219.

LCM(68204,68219) = 2² × 17² × 59¹ × 68219¹
LCM(68204,68219) = 4652808676