What is the Least Common Multiple of 22905 and 22917?

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 22905 and 22917 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22905 and 22917, than apply into the LCM equation.

GCF(22905,22917) = 3
LCM(22905,22917) = ( 22905 × 22917) / 3
LCM(22905,22917) = 524913885 / 3
LCM(22905,22917) = 174971295

Least Common Multiple (LCM) of 22905 and 22917 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22905 and 22917. First we will calculate the prime factors of 22905 and 22917.

Prime Factorization of 22905

Prime Factorization of 22917

Now multiplying the highest exponent prime factors to calculate the LCM of 22905 and 22917.

LCM(22905,22917) = 3² × 5¹ × 509¹ × 7639¹
LCM(22905,22917) = 174971295