What is the Least Common Multiple of 22311 and 22327?

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 22311 and 22327 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22311 and 22327, than apply into the LCM equation.

GCF(22311,22327) = 1
LCM(22311,22327) = ( 22311 × 22327) / 1
LCM(22311,22327) = 498137697 / 1
LCM(22311,22327) = 498137697

Least Common Multiple (LCM) of 22311 and 22327 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22311 and 22327. First we will calculate the prime factors of 22311 and 22327.

Prime Factorization of 22311

Prime Factorization of 22327

Now multiplying the highest exponent prime factors to calculate the LCM of 22311 and 22327.

LCM(22311,22327) = 3² × 37¹ × 67¹ × 83¹ × 269¹
LCM(22311,22327) = 498137697