What is the Least Common Multiple of 8228 and 8242?

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 8228 and 8242 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8228 and 8242, than apply into the LCM equation.

GCF(8228,8242) = 2
LCM(8228,8242) = ( 8228 × 8242) / 2
LCM(8228,8242) = 67815176 / 2
LCM(8228,8242) = 33907588

Least Common Multiple (LCM) of 8228 and 8242 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8228 and 8242. First we will calculate the prime factors of 8228 and 8242.

Prime Factorization of 8228

Prime Factorization of 8242

Now multiplying the highest exponent prime factors to calculate the LCM of 8228 and 8242.

LCM(8228,8242) = 2² × 11² × 17¹ × 13¹ × 317¹
LCM(8228,8242) = 33907588