What is the Least Common Multiple of 21861 and 21873?

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 21861 and 21873 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21861 and 21873, than apply into the LCM equation.

GCF(21861,21873) = 3
LCM(21861,21873) = ( 21861 × 21873) / 3
LCM(21861,21873) = 478165653 / 3
LCM(21861,21873) = 159388551

Least Common Multiple (LCM) of 21861 and 21873 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21861 and 21873. First we will calculate the prime factors of 21861 and 21873.

Prime Factorization of 21861

Prime Factorization of 21873

Now multiplying the highest exponent prime factors to calculate the LCM of 21861 and 21873.

LCM(21861,21873) = 3² × 7¹ × 347¹ × 23¹ × 317¹
LCM(21861,21873) = 159388551