What is the Least Common Multiple of 8187 and 8207?

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 8187 and 8207 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8187 and 8207, than apply into the LCM equation.

GCF(8187,8207) = 1
LCM(8187,8207) = ( 8187 × 8207) / 1
LCM(8187,8207) = 67190709 / 1
LCM(8187,8207) = 67190709

Least Common Multiple (LCM) of 8187 and 8207 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8187 and 8207. First we will calculate the prime factors of 8187 and 8207.

Prime Factorization of 8187

Prime Factorization of 8207

Now multiplying the highest exponent prime factors to calculate the LCM of 8187 and 8207.

LCM(8187,8207) = 3¹ × 2729¹ × 29¹ × 283¹
LCM(8187,8207) = 67190709