What is the Least Common Multiple of 82224 and 82237?

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 82224 and 82237 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82224 and 82237, than apply into the LCM equation.

GCF(82224,82237) = 1
LCM(82224,82237) = ( 82224 × 82237) / 1
LCM(82224,82237) = 6761855088 / 1
LCM(82224,82237) = 6761855088

Least Common Multiple (LCM) of 82224 and 82237 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82224 and 82237. First we will calculate the prime factors of 82224 and 82237.

Prime Factorization of 82224

Prime Factorization of 82237

Now multiplying the highest exponent prime factors to calculate the LCM of 82224 and 82237.

LCM(82224,82237) = 2⁴ × 3² × 571¹ × 82237¹
LCM(82224,82237) = 6761855088