What is the Least Common Multiple of 98208 and 98219?

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 98208 and 98219 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98208 and 98219, than apply into the LCM equation.

GCF(98208,98219) = 11
LCM(98208,98219) = ( 98208 × 98219) / 11
LCM(98208,98219) = 9645891552 / 11
LCM(98208,98219) = 876899232

Least Common Multiple (LCM) of 98208 and 98219 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98208 and 98219. First we will calculate the prime factors of 98208 and 98219.

Prime Factorization of 98208

Prime Factorization of 98219

Now multiplying the highest exponent prime factors to calculate the LCM of 98208 and 98219.

LCM(98208,98219) = 2⁵ × 3² × 11¹ × 31¹ × 8929¹
LCM(98208,98219) = 876899232