What is the Least Common Multiple of 15738 and 15746?

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 15738 and 15746 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15738 and 15746, than apply into the LCM equation.

GCF(15738,15746) = 2
LCM(15738,15746) = ( 15738 × 15746) / 2
LCM(15738,15746) = 247810548 / 2
LCM(15738,15746) = 123905274

Least Common Multiple (LCM) of 15738 and 15746 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15738 and 15746. First we will calculate the prime factors of 15738 and 15746.

Prime Factorization of 15738

Prime Factorization of 15746

Now multiplying the highest exponent prime factors to calculate the LCM of 15738 and 15746.

LCM(15738,15746) = 2¹ × 3¹ × 43¹ × 61¹ × 7873¹
LCM(15738,15746) = 123905274