What is the Least Common Multiple of 16672 and 16687?

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 16672 and 16687 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16672 and 16687, than apply into the LCM equation.

GCF(16672,16687) = 1
LCM(16672,16687) = ( 16672 × 16687) / 1
LCM(16672,16687) = 278205664 / 1
LCM(16672,16687) = 278205664

Least Common Multiple (LCM) of 16672 and 16687 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16672 and 16687. First we will calculate the prime factors of 16672 and 16687.

Prime Factorization of 16672

Prime Factorization of 16687

Now multiplying the highest exponent prime factors to calculate the LCM of 16672 and 16687.

LCM(16672,16687) = 2⁵ × 521¹ × 11¹ × 37¹ × 41¹
LCM(16672,16687) = 278205664