What is the Least Common Multiple of 13875 and 13893?

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 13875 and 13893 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13875 and 13893, than apply into the LCM equation.

GCF(13875,13893) = 3
LCM(13875,13893) = ( 13875 × 13893) / 3
LCM(13875,13893) = 192765375 / 3
LCM(13875,13893) = 64255125

Least Common Multiple (LCM) of 13875 and 13893 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13875 and 13893. First we will calculate the prime factors of 13875 and 13893.

Prime Factorization of 13875

Prime Factorization of 13893

Now multiplying the highest exponent prime factors to calculate the LCM of 13875 and 13893.

LCM(13875,13893) = 3¹ × 5³ × 37¹ × 11¹ × 421¹
LCM(13875,13893) = 64255125