What is the Least Common Multiple of 10518 and 10537?

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 10518 and 10537 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10518 and 10537, than apply into the LCM equation.

GCF(10518,10537) = 1
LCM(10518,10537) = ( 10518 × 10537) / 1
LCM(10518,10537) = 110828166 / 1
LCM(10518,10537) = 110828166

Least Common Multiple (LCM) of 10518 and 10537 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10518 and 10537. First we will calculate the prime factors of 10518 and 10537.

Prime Factorization of 10518

Prime Factorization of 10537

Now multiplying the highest exponent prime factors to calculate the LCM of 10518 and 10537.

LCM(10518,10537) = 2¹ × 3¹ × 1753¹ × 41¹ × 257¹
LCM(10518,10537) = 110828166