What is the Least Common Multiple of 16673 and 16692?

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 16673 and 16692 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16673 and 16692, than apply into the LCM equation.

GCF(16673,16692) = 1
LCM(16673,16692) = ( 16673 × 16692) / 1
LCM(16673,16692) = 278305716 / 1
LCM(16673,16692) = 278305716

Least Common Multiple (LCM) of 16673 and 16692 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16673 and 16692. First we will calculate the prime factors of 16673 and 16692.

Prime Factorization of 16673

Prime Factorization of 16692

Now multiplying the highest exponent prime factors to calculate the LCM of 16673 and 16692.

LCM(16673,16692) = 16673¹ × 2² × 3¹ × 13¹ × 107¹
LCM(16673,16692) = 278305716