What is the Least Common Multiple of 16830 and 16844?

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 16830 and 16844 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16830 and 16844, than apply into the LCM equation.

GCF(16830,16844) = 2
LCM(16830,16844) = ( 16830 × 16844) / 2
LCM(16830,16844) = 283484520 / 2
LCM(16830,16844) = 141742260

Least Common Multiple (LCM) of 16830 and 16844 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16830 and 16844. First we will calculate the prime factors of 16830 and 16844.

Prime Factorization of 16830

Prime Factorization of 16844

Now multiplying the highest exponent prime factors to calculate the LCM of 16830 and 16844.

LCM(16830,16844) = 2² × 3² × 5¹ × 11¹ × 17¹ × 4211¹
LCM(16830,16844) = 141742260