What is the Least Common Multiple of 82204 and 82217?

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 82204 and 82217 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82204 and 82217, than apply into the LCM equation.

GCF(82204,82217) = 1
LCM(82204,82217) = ( 82204 × 82217) / 1
LCM(82204,82217) = 6758566268 / 1
LCM(82204,82217) = 6758566268

Least Common Multiple (LCM) of 82204 and 82217 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82204 and 82217. First we will calculate the prime factors of 82204 and 82217.

Prime Factorization of 82204

Prime Factorization of 82217

Now multiplying the highest exponent prime factors to calculate the LCM of 82204 and 82217.

LCM(82204,82217) = 2² × 20551¹ × 82217¹
LCM(82204,82217) = 6758566268