What is the Least Common Multiple of 80168 and 80174?

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 80168 and 80174 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80168 and 80174, than apply into the LCM equation.

GCF(80168,80174) = 2
LCM(80168,80174) = ( 80168 × 80174) / 2
LCM(80168,80174) = 6427389232 / 2
LCM(80168,80174) = 3213694616

Least Common Multiple (LCM) of 80168 and 80174 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80168 and 80174. First we will calculate the prime factors of 80168 and 80174.

Prime Factorization of 80168

Prime Factorization of 80174

Now multiplying the highest exponent prime factors to calculate the LCM of 80168 and 80174.

LCM(80168,80174) = 2³ × 11¹ × 911¹ × 40087¹
LCM(80168,80174) = 3213694616