What is the Least Common Multiple of 82204 and 82222?

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 82222 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 82222, than apply into the LCM equation.

GCF(82204,82222) = 2
LCM(82204,82222) = ( 82204 × 82222) / 2
LCM(82204,82222) = 6758977288 / 2
LCM(82204,82222) = 3379488644

Least Common Multiple (LCM) of 82204 and 82222 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82204 and 82222. First we will calculate the prime factors of 82204 and 82222.

Prime Factorization of 82204

Prime Factorization of 82222

Now multiplying the highest exponent prime factors to calculate the LCM of 82204 and 82222.

LCM(82204,82222) = 2² × 20551¹ × 7² × 839¹
LCM(82204,82222) = 3379488644