What is the Least Common Multiple of 21084 and 21099?

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 21084 and 21099 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21084 and 21099, than apply into the LCM equation.

GCF(21084,21099) = 3
LCM(21084,21099) = ( 21084 × 21099) / 3
LCM(21084,21099) = 444851316 / 3
LCM(21084,21099) = 148283772

Least Common Multiple (LCM) of 21084 and 21099 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21084 and 21099. First we will calculate the prime factors of 21084 and 21099.

Prime Factorization of 21084

Prime Factorization of 21099

Now multiplying the highest exponent prime factors to calculate the LCM of 21084 and 21099.

LCM(21084,21099) = 2² × 3¹ × 7¹ × 251¹ × 13¹ × 541¹
LCM(21084,21099) = 148283772