What is the Least Common Multiple of 82168 and 82174?

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 82168 and 82174 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82168 and 82174, than apply into the LCM equation.

GCF(82168,82174) = 2
LCM(82168,82174) = ( 82168 × 82174) / 2
LCM(82168,82174) = 6752073232 / 2
LCM(82168,82174) = 3376036616

Least Common Multiple (LCM) of 82168 and 82174 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82168 and 82174. First we will calculate the prime factors of 82168 and 82174.

Prime Factorization of 82168

Prime Factorization of 82174

Now multiplying the highest exponent prime factors to calculate the LCM of 82168 and 82174.

LCM(82168,82174) = 2³ × 10271¹ × 181¹ × 227¹
LCM(82168,82174) = 3376036616