What is the Least Common Multiple of 8172 and 8189?

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 8172 and 8189 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8172 and 8189, than apply into the LCM equation.

GCF(8172,8189) = 1
LCM(8172,8189) = ( 8172 × 8189) / 1
LCM(8172,8189) = 66920508 / 1
LCM(8172,8189) = 66920508

Least Common Multiple (LCM) of 8172 and 8189 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8172 and 8189. First we will calculate the prime factors of 8172 and 8189.

Prime Factorization of 8172

Prime Factorization of 8189

Now multiplying the highest exponent prime factors to calculate the LCM of 8172 and 8189.

LCM(8172,8189) = 2² × 3² × 227¹ × 19¹ × 431¹
LCM(8172,8189) = 66920508