What is the Least Common Multiple of 67168 and 67174?

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 67168 and 67174 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67168 and 67174, than apply into the LCM equation.

GCF(67168,67174) = 2
LCM(67168,67174) = ( 67168 × 67174) / 2
LCM(67168,67174) = 4511943232 / 2
LCM(67168,67174) = 2255971616

Least Common Multiple (LCM) of 67168 and 67174 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67168 and 67174. First we will calculate the prime factors of 67168 and 67174.

Prime Factorization of 67168

Prime Factorization of 67174

Now multiplying the highest exponent prime factors to calculate the LCM of 67168 and 67174.

LCM(67168,67174) = 2⁵ × 2099¹ × 33587¹
LCM(67168,67174) = 2255971616