What is the Least Common Multiple of 81168 and 81174?

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 81168 and 81174 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81168 and 81174, than apply into the LCM equation.

GCF(81168,81174) = 6
LCM(81168,81174) = ( 81168 × 81174) / 6
LCM(81168,81174) = 6588731232 / 6
LCM(81168,81174) = 1098121872

Least Common Multiple (LCM) of 81168 and 81174 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81168 and 81174. First we will calculate the prime factors of 81168 and 81174.

Prime Factorization of 81168

Prime Factorization of 81174

Now multiplying the highest exponent prime factors to calculate the LCM of 81168 and 81174.

LCM(81168,81174) = 2⁴ × 3¹ × 19¹ × 89¹ × 83¹ × 163¹
LCM(81168,81174) = 1098121872