What is the Least Common Multiple of 63162 and 63168?

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 63162 and 63168 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63162 and 63168, than apply into the LCM equation.

GCF(63162,63168) = 6
LCM(63162,63168) = ( 63162 × 63168) / 6
LCM(63162,63168) = 3989817216 / 6
LCM(63162,63168) = 664969536

Least Common Multiple (LCM) of 63162 and 63168 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63162 and 63168. First we will calculate the prime factors of 63162 and 63168.

Prime Factorization of 63162

Prime Factorization of 63168

Now multiplying the highest exponent prime factors to calculate the LCM of 63162 and 63168.

LCM(63162,63168) = 2⁶ × 3² × 11² × 29¹ × 7¹ × 47¹
LCM(63162,63168) = 664969536