What is the Least Common Multiple of 22909 and 22927?

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 22909 and 22927 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22909 and 22927, than apply into the LCM equation.

GCF(22909,22927) = 1
LCM(22909,22927) = ( 22909 × 22927) / 1
LCM(22909,22927) = 525234643 / 1
LCM(22909,22927) = 525234643

Least Common Multiple (LCM) of 22909 and 22927 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22909 and 22927. First we will calculate the prime factors of 22909 and 22927.

Prime Factorization of 22909

Prime Factorization of 22927

Now multiplying the highest exponent prime factors to calculate the LCM of 22909 and 22927.

LCM(22909,22927) = 31¹ × 739¹ × 101¹ × 227¹
LCM(22909,22927) = 525234643