What is the Least Common Multiple of 22329 and 22342?

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 22329 and 22342 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22329 and 22342, than apply into the LCM equation.

GCF(22329,22342) = 1
LCM(22329,22342) = ( 22329 × 22342) / 1
LCM(22329,22342) = 498874518 / 1
LCM(22329,22342) = 498874518

Least Common Multiple (LCM) of 22329 and 22342 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22329 and 22342. First we will calculate the prime factors of 22329 and 22342.

Prime Factorization of 22329

Prime Factorization of 22342

Now multiplying the highest exponent prime factors to calculate the LCM of 22329 and 22342.

LCM(22329,22342) = 3³ × 827¹ × 2¹ × 11171¹
LCM(22329,22342) = 498874518