What is the Least Common Multiple of 13125 and 13137?

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 13125 and 13137 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13125 and 13137, than apply into the LCM equation.

GCF(13125,13137) = 3
LCM(13125,13137) = ( 13125 × 13137) / 3
LCM(13125,13137) = 172423125 / 3
LCM(13125,13137) = 57474375

Least Common Multiple (LCM) of 13125 and 13137 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13125 and 13137. First we will calculate the prime factors of 13125 and 13137.

Prime Factorization of 13125

Prime Factorization of 13137

Now multiplying the highest exponent prime factors to calculate the LCM of 13125 and 13137.

LCM(13125,13137) = 3¹ × 5⁴ × 7¹ × 29¹ × 151¹
LCM(13125,13137) = 57474375