What is the Least Common Multiple of 7149 and 7167?

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 7149 and 7167 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7149 and 7167, than apply into the LCM equation.

GCF(7149,7167) = 3
LCM(7149,7167) = ( 7149 × 7167) / 3
LCM(7149,7167) = 51236883 / 3
LCM(7149,7167) = 17078961

Least Common Multiple (LCM) of 7149 and 7167 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7149 and 7167. First we will calculate the prime factors of 7149 and 7167.

Prime Factorization of 7149

Prime Factorization of 7167

Now multiplying the highest exponent prime factors to calculate the LCM of 7149 and 7167.

LCM(7149,7167) = 3¹ × 2383¹ × 2389¹
LCM(7149,7167) = 17078961