What is the Least Common Multiple of 22919 and 22929?

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 22919 and 22929 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22919 and 22929, than apply into the LCM equation.

GCF(22919,22929) = 1
LCM(22919,22929) = ( 22919 × 22929) / 1
LCM(22919,22929) = 525509751 / 1
LCM(22919,22929) = 525509751

Least Common Multiple (LCM) of 22919 and 22929 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22919 and 22929. First we will calculate the prime factors of 22919 and 22929.

Prime Factorization of 22919

Prime Factorization of 22929

Now multiplying the highest exponent prime factors to calculate the LCM of 22919 and 22929.

LCM(22919,22929) = 13¹ × 41¹ × 43¹ × 3¹ × 7643¹
LCM(22919,22929) = 525509751