What is the Least Common Multiple of 21909 and 21924?

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 21909 and 21924 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21909 and 21924, than apply into the LCM equation.

GCF(21909,21924) = 3
LCM(21909,21924) = ( 21909 × 21924) / 3
LCM(21909,21924) = 480332916 / 3
LCM(21909,21924) = 160110972

Least Common Multiple (LCM) of 21909 and 21924 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21909 and 21924. First we will calculate the prime factors of 21909 and 21924.

Prime Factorization of 21909

Prime Factorization of 21924

Now multiplying the highest exponent prime factors to calculate the LCM of 21909 and 21924.

LCM(21909,21924) = 3³ × 67¹ × 109¹ × 2² × 7¹ × 29¹
LCM(21909,21924) = 160110972