What is the Least Common Multiple of 21852 and 21869?

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 21852 and 21869 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21852 and 21869, than apply into the LCM equation.

GCF(21852,21869) = 1
LCM(21852,21869) = ( 21852 × 21869) / 1
LCM(21852,21869) = 477881388 / 1
LCM(21852,21869) = 477881388

Least Common Multiple (LCM) of 21852 and 21869 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21852 and 21869. First we will calculate the prime factors of 21852 and 21869.

Prime Factorization of 21852

Prime Factorization of 21869

Now multiplying the highest exponent prime factors to calculate the LCM of 21852 and 21869.

LCM(21852,21869) = 2² × 3² × 607¹ × 19¹ × 1151¹
LCM(21852,21869) = 477881388