What is the Least Common Multiple of 73178 and 73184?

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 73178 and 73184 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73178 and 73184, than apply into the LCM equation.

GCF(73178,73184) = 2
LCM(73178,73184) = ( 73178 × 73184) / 2
LCM(73178,73184) = 5355458752 / 2
LCM(73178,73184) = 2677729376

Least Common Multiple (LCM) of 73178 and 73184 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73178 and 73184. First we will calculate the prime factors of 73178 and 73184.

Prime Factorization of 73178

Prime Factorization of 73184

Now multiplying the highest exponent prime factors to calculate the LCM of 73178 and 73184.

LCM(73178,73184) = 2⁵ × 7¹ × 5227¹ × 2287¹
LCM(73178,73184) = 2677729376