What is the Least Common Multiple of 63168 and 63174?

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 63174 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 63174, than apply into the LCM equation.

GCF(63168,63174) = 6
LCM(63168,63174) = ( 63168 × 63174) / 6
LCM(63168,63174) = 3990575232 / 6
LCM(63168,63174) = 665095872

Least Common Multiple (LCM) of 63168 and 63174 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63168 and 63174. First we will calculate the prime factors of 63168 and 63174.

Prime Factorization of 63168

Prime Factorization of 63174

Now multiplying the highest exponent prime factors to calculate the LCM of 63168 and 63174.

LCM(63168,63174) = 2⁶ × 3¹ × 7¹ × 47¹ × 10529¹
LCM(63168,63174) = 665095872