What is the Least Common Multiple of 21845 and 21864?

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 21845 and 21864 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21845 and 21864, than apply into the LCM equation.

GCF(21845,21864) = 1
LCM(21845,21864) = ( 21845 × 21864) / 1
LCM(21845,21864) = 477619080 / 1
LCM(21845,21864) = 477619080

Least Common Multiple (LCM) of 21845 and 21864 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21845 and 21864. First we will calculate the prime factors of 21845 and 21864.

Prime Factorization of 21845

Prime Factorization of 21864

Now multiplying the highest exponent prime factors to calculate the LCM of 21845 and 21864.

LCM(21845,21864) = 5¹ × 17¹ × 257¹ × 2³ × 3¹ × 911¹
LCM(21845,21864) = 477619080