What is the Least Common Multiple of 16803 and 16821?

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 16803 and 16821 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16803 and 16821, than apply into the LCM equation.

GCF(16803,16821) = 9
LCM(16803,16821) = ( 16803 × 16821) / 9
LCM(16803,16821) = 282643263 / 9
LCM(16803,16821) = 31404807

Least Common Multiple (LCM) of 16803 and 16821 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16803 and 16821. First we will calculate the prime factors of 16803 and 16821.

Prime Factorization of 16803

Prime Factorization of 16821

Now multiplying the highest exponent prime factors to calculate the LCM of 16803 and 16821.

LCM(16803,16821) = 3³ × 1867¹ × 7¹ × 89¹
LCM(16803,16821) = 31404807