What is the Least Common Multiple of 8174 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 8174 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 8174 and 8189, than apply into the LCM equation.

GCF(8174,8189) = 1
LCM(8174,8189) = ( 8174 × 8189) / 1
LCM(8174,8189) = 66936886 / 1
LCM(8174,8189) = 66936886

Least Common Multiple (LCM) of 8174 and 8189 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8174 and 8189. First we will calculate the prime factors of 8174 and 8189.

Prime Factorization of 8174

Prime Factorization of 8189

Now multiplying the highest exponent prime factors to calculate the LCM of 8174 and 8189.

LCM(8174,8189) = 2¹ × 61¹ × 67¹ × 19¹ × 431¹
LCM(8174,8189) = 66936886