What is the Least Common Multiple of 16971 and 16986?

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 16971 and 16986 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16971 and 16986, than apply into the LCM equation.

GCF(16971,16986) = 3
LCM(16971,16986) = ( 16971 × 16986) / 3
LCM(16971,16986) = 288269406 / 3
LCM(16971,16986) = 96089802

Least Common Multiple (LCM) of 16971 and 16986 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16971 and 16986. First we will calculate the prime factors of 16971 and 16986.

Prime Factorization of 16971

Prime Factorization of 16986

Now multiplying the highest exponent prime factors to calculate the LCM of 16971 and 16986.

LCM(16971,16986) = 3¹ × 5657¹ × 2¹ × 19¹ × 149¹
LCM(16971,16986) = 96089802