What is the Least Common Multiple of 13745 and 13751?

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 13745 and 13751 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13745 and 13751, than apply into the LCM equation.

GCF(13745,13751) = 1
LCM(13745,13751) = ( 13745 × 13751) / 1
LCM(13745,13751) = 189007495 / 1
LCM(13745,13751) = 189007495

Least Common Multiple (LCM) of 13745 and 13751 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13745 and 13751. First we will calculate the prime factors of 13745 and 13751.

Prime Factorization of 13745

Prime Factorization of 13751

Now multiplying the highest exponent prime factors to calculate the LCM of 13745 and 13751.

LCM(13745,13751) = 5¹ × 2749¹ × 13751¹
LCM(13745,13751) = 189007495