What is the Least Common Multiple of 13730 and 13741?

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 13730 and 13741 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13730 and 13741, than apply into the LCM equation.

GCF(13730,13741) = 1
LCM(13730,13741) = ( 13730 × 13741) / 1
LCM(13730,13741) = 188663930 / 1
LCM(13730,13741) = 188663930

Least Common Multiple (LCM) of 13730 and 13741 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13730 and 13741. First we will calculate the prime factors of 13730 and 13741.

Prime Factorization of 13730

Prime Factorization of 13741

Now multiplying the highest exponent prime factors to calculate the LCM of 13730 and 13741.

LCM(13730,13741) = 2¹ × 5¹ × 1373¹ × 7¹ × 13¹ × 151¹
LCM(13730,13741) = 188663930