What is the Least Common Multiple of 15666 and 15673?

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 15666 and 15673 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15666 and 15673, than apply into the LCM equation.

GCF(15666,15673) = 7
LCM(15666,15673) = ( 15666 × 15673) / 7
LCM(15666,15673) = 245533218 / 7
LCM(15666,15673) = 35076174

Least Common Multiple (LCM) of 15666 and 15673 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15666 and 15673. First we will calculate the prime factors of 15666 and 15673.

Prime Factorization of 15666

Prime Factorization of 15673

Now multiplying the highest exponent prime factors to calculate the LCM of 15666 and 15673.

LCM(15666,15673) = 2¹ × 3¹ × 7¹ × 373¹ × 2239¹
LCM(15666,15673) = 35076174