What is the Least Common Multiple of 13518 and 13537?

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 13518 and 13537 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13518 and 13537, than apply into the LCM equation.

GCF(13518,13537) = 1
LCM(13518,13537) = ( 13518 × 13537) / 1
LCM(13518,13537) = 182993166 / 1
LCM(13518,13537) = 182993166

Least Common Multiple (LCM) of 13518 and 13537 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13518 and 13537. First we will calculate the prime factors of 13518 and 13537.

Prime Factorization of 13518

Prime Factorization of 13537

Now multiplying the highest exponent prime factors to calculate the LCM of 13518 and 13537.

LCM(13518,13537) = 2¹ × 3² × 751¹ × 13537¹
LCM(13518,13537) = 182993166