What is the Least Common Multiple of 65208 and 65219?

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 65208 and 65219 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65208 and 65219, than apply into the LCM equation.

GCF(65208,65219) = 11
LCM(65208,65219) = ( 65208 × 65219) / 11
LCM(65208,65219) = 4252800552 / 11
LCM(65208,65219) = 386618232

Least Common Multiple (LCM) of 65208 and 65219 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65208 and 65219. First we will calculate the prime factors of 65208 and 65219.

Prime Factorization of 65208

Prime Factorization of 65219

Now multiplying the highest exponent prime factors to calculate the LCM of 65208 and 65219.

LCM(65208,65219) = 2³ × 3¹ × 11³ × 13¹ × 19¹ × 7²
LCM(65208,65219) = 386618232