What is the Least Common Multiple of 7138 and 7146?

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 7138 and 7146 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7138 and 7146, than apply into the LCM equation.

GCF(7138,7146) = 2
LCM(7138,7146) = ( 7138 × 7146) / 2
LCM(7138,7146) = 51008148 / 2
LCM(7138,7146) = 25504074

Least Common Multiple (LCM) of 7138 and 7146 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7138 and 7146. First we will calculate the prime factors of 7138 and 7146.

Prime Factorization of 7138

Prime Factorization of 7146

Now multiplying the highest exponent prime factors to calculate the LCM of 7138 and 7146.

LCM(7138,7146) = 2¹ × 43¹ × 83¹ × 3² × 397¹
LCM(7138,7146) = 25504074