What is the Least Common Multiple of 13125 and 13141?

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 13141 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 13141, than apply into the LCM equation.

GCF(13125,13141) = 1
LCM(13125,13141) = ( 13125 × 13141) / 1
LCM(13125,13141) = 172475625 / 1
LCM(13125,13141) = 172475625

Least Common Multiple (LCM) of 13125 and 13141 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13125 and 13141. First we will calculate the prime factors of 13125 and 13141.

Prime Factorization of 13125

Prime Factorization of 13141

Now multiplying the highest exponent prime factors to calculate the LCM of 13125 and 13141.

LCM(13125,13141) = 3¹ × 5⁴ × 7¹ × 17¹ × 773¹
LCM(13125,13141) = 172475625