What is the Least Common Multiple of 85208 and 85219?

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 85208 and 85219 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85208 and 85219, than apply into the LCM equation.

GCF(85208,85219) = 1
LCM(85208,85219) = ( 85208 × 85219) / 1
LCM(85208,85219) = 7261340552 / 1
LCM(85208,85219) = 7261340552

Least Common Multiple (LCM) of 85208 and 85219 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85208 and 85219. First we will calculate the prime factors of 85208 and 85219.

Prime Factorization of 85208

Prime Factorization of 85219

Now multiplying the highest exponent prime factors to calculate the LCM of 85208 and 85219.

LCM(85208,85219) = 2³ × 10651¹ × 31¹ × 2749¹
LCM(85208,85219) = 7261340552