What is the Least Common Multiple of 80174 and 80184?

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 80174 and 80184 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80174 and 80184, than apply into the LCM equation.

GCF(80174,80184) = 2
LCM(80174,80184) = ( 80174 × 80184) / 2
LCM(80174,80184) = 6428672016 / 2
LCM(80174,80184) = 3214336008

Least Common Multiple (LCM) of 80174 and 80184 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80174 and 80184. First we will calculate the prime factors of 80174 and 80184.

Prime Factorization of 80174

Prime Factorization of 80184

Now multiplying the highest exponent prime factors to calculate the LCM of 80174 and 80184.

LCM(80174,80184) = 2³ × 40087¹ × 3¹ × 13¹ × 257¹
LCM(80174,80184) = 3214336008