What is the Least Common Multiple of 13101 and 13107?

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 13101 and 13107 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13101 and 13107, than apply into the LCM equation.

GCF(13101,13107) = 3
LCM(13101,13107) = ( 13101 × 13107) / 3
LCM(13101,13107) = 171714807 / 3
LCM(13101,13107) = 57238269

Least Common Multiple (LCM) of 13101 and 13107 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13101 and 13107. First we will calculate the prime factors of 13101 and 13107.

Prime Factorization of 13101

Prime Factorization of 13107

Now multiplying the highest exponent prime factors to calculate the LCM of 13101 and 13107.

LCM(13101,13107) = 3¹ × 11¹ × 397¹ × 17¹ × 257¹
LCM(13101,13107) = 57238269