What is the Least Common Multiple of 10125 and 10137?

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 10125 and 10137 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10125 and 10137, than apply into the LCM equation.

GCF(10125,10137) = 3
LCM(10125,10137) = ( 10125 × 10137) / 3
LCM(10125,10137) = 102637125 / 3
LCM(10125,10137) = 34212375

Least Common Multiple (LCM) of 10125 and 10137 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10125 and 10137. First we will calculate the prime factors of 10125 and 10137.

Prime Factorization of 10125

Prime Factorization of 10137

Now multiplying the highest exponent prime factors to calculate the LCM of 10125 and 10137.

LCM(10125,10137) = 3⁴ × 5³ × 31¹ × 109¹
LCM(10125,10137) = 34212375