What is the Least Common Multiple of 85204 and 85214?

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 85204 and 85214 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85204 and 85214, than apply into the LCM equation.

GCF(85204,85214) = 2
LCM(85204,85214) = ( 85204 × 85214) / 2
LCM(85204,85214) = 7260573656 / 2
LCM(85204,85214) = 3630286828

Least Common Multiple (LCM) of 85204 and 85214 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85204 and 85214. First we will calculate the prime factors of 85204 and 85214.

Prime Factorization of 85204

Prime Factorization of 85214

Now multiplying the highest exponent prime factors to calculate the LCM of 85204 and 85214.

LCM(85204,85214) = 2² × 7¹ × 17¹ × 179¹ × 137¹ × 311¹
LCM(85204,85214) = 3630286828