What is the Least Common Multiple of 63168 and 63173?

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 63168 and 63173 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63168 and 63173, than apply into the LCM equation.

GCF(63168,63173) = 1
LCM(63168,63173) = ( 63168 × 63173) / 1
LCM(63168,63173) = 3990512064 / 1
LCM(63168,63173) = 3990512064

Least Common Multiple (LCM) of 63168 and 63173 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63168 and 63173. First we will calculate the prime factors of 63168 and 63173.

Prime Factorization of 63168

Prime Factorization of 63173

Now multiplying the highest exponent prime factors to calculate the LCM of 63168 and 63173.

LCM(63168,63173) = 2⁶ × 3¹ × 7¹ × 47¹ × 11¹ × 5743¹
LCM(63168,63173) = 3990512064