What is the Least Common Multiple of 13371 and 13380?

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 13371 and 13380 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13371 and 13380, than apply into the LCM equation.

GCF(13371,13380) = 3
LCM(13371,13380) = ( 13371 × 13380) / 3
LCM(13371,13380) = 178903980 / 3
LCM(13371,13380) = 59634660

Least Common Multiple (LCM) of 13371 and 13380 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13371 and 13380. First we will calculate the prime factors of 13371 and 13380.

Prime Factorization of 13371

Prime Factorization of 13380

Now multiplying the highest exponent prime factors to calculate the LCM of 13371 and 13380.

LCM(13371,13380) = 3¹ × 4457¹ × 2² × 5¹ × 223¹
LCM(13371,13380) = 59634660