What is the Least Common Multiple of 74204 and 74219?

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 74204 and 74219 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74204 and 74219, than apply into the LCM equation.

GCF(74204,74219) = 1
LCM(74204,74219) = ( 74204 × 74219) / 1
LCM(74204,74219) = 5507346676 / 1
LCM(74204,74219) = 5507346676

Least Common Multiple (LCM) of 74204 and 74219 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74204 and 74219. First we will calculate the prime factors of 74204 and 74219.

Prime Factorization of 74204

Prime Factorization of 74219

Now multiplying the highest exponent prime factors to calculate the LCM of 74204 and 74219.

LCM(74204,74219) = 2² × 13¹ × 1427¹ × 74219¹
LCM(74204,74219) = 5507346676