What is the Least Common Multiple of 98219 and 98226?

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 98219 and 98226 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98219 and 98226, than apply into the LCM equation.

GCF(98219,98226) = 1
LCM(98219,98226) = ( 98219 × 98226) / 1
LCM(98219,98226) = 9647659494 / 1
LCM(98219,98226) = 9647659494

Least Common Multiple (LCM) of 98219 and 98226 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98219 and 98226. First we will calculate the prime factors of 98219 and 98226.

Prime Factorization of 98219

Prime Factorization of 98226

Now multiplying the highest exponent prime factors to calculate the LCM of 98219 and 98226.

LCM(98219,98226) = 11¹ × 8929¹ × 2¹ × 3³ × 17¹ × 107¹
LCM(98219,98226) = 9647659494