What is the Least Common Multiple of 16842 and 16853?

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 16842 and 16853 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16842 and 16853, than apply into the LCM equation.

GCF(16842,16853) = 1
LCM(16842,16853) = ( 16842 × 16853) / 1
LCM(16842,16853) = 283838226 / 1
LCM(16842,16853) = 283838226

Least Common Multiple (LCM) of 16842 and 16853 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16842 and 16853. First we will calculate the prime factors of 16842 and 16853.

Prime Factorization of 16842

Prime Factorization of 16853

Now multiplying the highest exponent prime factors to calculate the LCM of 16842 and 16853.

LCM(16842,16853) = 2¹ × 3¹ × 7¹ × 401¹ × 19¹ × 887¹
LCM(16842,16853) = 283838226