What is the Least Common Multiple of 82214 and 82226?

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 82214 and 82226 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82214 and 82226, than apply into the LCM equation.

GCF(82214,82226) = 2
LCM(82214,82226) = ( 82214 × 82226) / 2
LCM(82214,82226) = 6760128364 / 2
LCM(82214,82226) = 3380064182

Least Common Multiple (LCM) of 82214 and 82226 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82214 and 82226. First we will calculate the prime factors of 82214 and 82226.

Prime Factorization of 82214

Prime Factorization of 82226

Now multiplying the highest exponent prime factors to calculate the LCM of 82214 and 82226.

LCM(82214,82226) = 2¹ × 11¹ × 37¹ × 101¹ × 41113¹
LCM(82214,82226) = 3380064182