What is the Least Common Multiple of 21291 and 21299?

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 21291 and 21299 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21291 and 21299, than apply into the LCM equation.

GCF(21291,21299) = 1
LCM(21291,21299) = ( 21291 × 21299) / 1
LCM(21291,21299) = 453477009 / 1
LCM(21291,21299) = 453477009

Least Common Multiple (LCM) of 21291 and 21299 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21291 and 21299. First we will calculate the prime factors of 21291 and 21299.

Prime Factorization of 21291

Prime Factorization of 21299

Now multiplying the highest exponent prime factors to calculate the LCM of 21291 and 21299.

LCM(21291,21299) = 3¹ × 47¹ × 151¹ × 19² × 59¹
LCM(21291,21299) = 453477009