What is the Least Common Multiple of 22409 and 22423?

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 22409 and 22423 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22409 and 22423, than apply into the LCM equation.

GCF(22409,22423) = 1
LCM(22409,22423) = ( 22409 × 22423) / 1
LCM(22409,22423) = 502477007 / 1
LCM(22409,22423) = 502477007

Least Common Multiple (LCM) of 22409 and 22423 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22409 and 22423. First we will calculate the prime factors of 22409 and 22423.

Prime Factorization of 22409

Prime Factorization of 22423

Now multiplying the highest exponent prime factors to calculate the LCM of 22409 and 22423.

LCM(22409,22423) = 22409¹ × 17¹ × 1319¹
LCM(22409,22423) = 502477007