What is the Least Common Multiple of 7148 and 7166?

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 7148 and 7166 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7148 and 7166, than apply into the LCM equation.

GCF(7148,7166) = 2
LCM(7148,7166) = ( 7148 × 7166) / 2
LCM(7148,7166) = 51222568 / 2
LCM(7148,7166) = 25611284

Least Common Multiple (LCM) of 7148 and 7166 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7148 and 7166. First we will calculate the prime factors of 7148 and 7166.

Prime Factorization of 7148

Prime Factorization of 7166

Now multiplying the highest exponent prime factors to calculate the LCM of 7148 and 7166.

LCM(7148,7166) = 2² × 1787¹ × 3583¹
LCM(7148,7166) = 25611284