What is the Least Common Multiple of 21865 and 21878?

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 21865 and 21878 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21865 and 21878, than apply into the LCM equation.

GCF(21865,21878) = 1
LCM(21865,21878) = ( 21865 × 21878) / 1
LCM(21865,21878) = 478362470 / 1
LCM(21865,21878) = 478362470

Least Common Multiple (LCM) of 21865 and 21878 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21865 and 21878. First we will calculate the prime factors of 21865 and 21878.

Prime Factorization of 21865

Prime Factorization of 21878

Now multiplying the highest exponent prime factors to calculate the LCM of 21865 and 21878.

LCM(21865,21878) = 5¹ × 4373¹ × 2¹ × 10939¹
LCM(21865,21878) = 478362470