What is the Least Common Multiple of 21888 and 21901?

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 21888 and 21901 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21888 and 21901, than apply into the LCM equation.

GCF(21888,21901) = 1
LCM(21888,21901) = ( 21888 × 21901) / 1
LCM(21888,21901) = 479369088 / 1
LCM(21888,21901) = 479369088

Least Common Multiple (LCM) of 21888 and 21901 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21888 and 21901. First we will calculate the prime factors of 21888 and 21901.

Prime Factorization of 21888

Prime Factorization of 21901

Now multiplying the highest exponent prime factors to calculate the LCM of 21888 and 21901.

LCM(21888,21901) = 2⁷ × 3² × 19¹ × 11² × 181¹
LCM(21888,21901) = 479369088