What is the Least Common Multiple of 9138 and 9146?

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 9138 and 9146 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9138 and 9146, than apply into the LCM equation.

GCF(9138,9146) = 2
LCM(9138,9146) = ( 9138 × 9146) / 2
LCM(9138,9146) = 83576148 / 2
LCM(9138,9146) = 41788074

Least Common Multiple (LCM) of 9138 and 9146 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9138 and 9146. First we will calculate the prime factors of 9138 and 9146.

Prime Factorization of 9138

Prime Factorization of 9146

Now multiplying the highest exponent prime factors to calculate the LCM of 9138 and 9146.

LCM(9138,9146) = 2¹ × 3¹ × 1523¹ × 17¹ × 269¹
LCM(9138,9146) = 41788074