What is the Least Common Multiple of 71174 and 71184?

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 71174 and 71184 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71174 and 71184, than apply into the LCM equation.

GCF(71174,71184) = 2
LCM(71174,71184) = ( 71174 × 71184) / 2
LCM(71174,71184) = 5066450016 / 2
LCM(71174,71184) = 2533225008

Least Common Multiple (LCM) of 71174 and 71184 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71174 and 71184. First we will calculate the prime factors of 71174 and 71184.

Prime Factorization of 71174

Prime Factorization of 71184

Now multiplying the highest exponent prime factors to calculate the LCM of 71174 and 71184.

LCM(71174,71184) = 2⁴ × 19¹ × 1873¹ × 3¹ × 1483¹
LCM(71174,71184) = 2533225008