What is the Least Common Multiple of 8214 and 8226?

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 8214 and 8226 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8214 and 8226, than apply into the LCM equation.

GCF(8214,8226) = 6
LCM(8214,8226) = ( 8214 × 8226) / 6
LCM(8214,8226) = 67568364 / 6
LCM(8214,8226) = 11261394

Least Common Multiple (LCM) of 8214 and 8226 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8214 and 8226. First we will calculate the prime factors of 8214 and 8226.

Prime Factorization of 8214

Prime Factorization of 8226

Now multiplying the highest exponent prime factors to calculate the LCM of 8214 and 8226.

LCM(8214,8226) = 2¹ × 3² × 37² × 457¹
LCM(8214,8226) = 11261394