What is the Least Common Multiple of 8214 and 8231?

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 8231 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 8231, than apply into the LCM equation.

GCF(8214,8231) = 1
LCM(8214,8231) = ( 8214 × 8231) / 1
LCM(8214,8231) = 67609434 / 1
LCM(8214,8231) = 67609434

Least Common Multiple (LCM) of 8214 and 8231 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8214 and 8231. First we will calculate the prime factors of 8214 and 8231.

Prime Factorization of 8214

Prime Factorization of 8231

Now multiplying the highest exponent prime factors to calculate the LCM of 8214 and 8231.

LCM(8214,8231) = 2¹ × 3¹ × 37² × 8231¹
LCM(8214,8231) = 67609434