What is the Least Common Multiple of 16821 and 16830?

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 16821 and 16830 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16821 and 16830, than apply into the LCM equation.

GCF(16821,16830) = 9
LCM(16821,16830) = ( 16821 × 16830) / 9
LCM(16821,16830) = 283097430 / 9
LCM(16821,16830) = 31455270

Least Common Multiple (LCM) of 16821 and 16830 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16821 and 16830. First we will calculate the prime factors of 16821 and 16830.

Prime Factorization of 16821

Prime Factorization of 16830

Now multiplying the highest exponent prime factors to calculate the LCM of 16821 and 16830.

LCM(16821,16830) = 3³ × 7¹ × 89¹ × 2¹ × 5¹ × 11¹ × 17¹
LCM(16821,16830) = 31455270