What is the Least Common Multiple of 7174 and 7184?

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 7174 and 7184 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7174 and 7184, than apply into the LCM equation.

GCF(7174,7184) = 2
LCM(7174,7184) = ( 7174 × 7184) / 2
LCM(7174,7184) = 51538016 / 2
LCM(7174,7184) = 25769008

Least Common Multiple (LCM) of 7174 and 7184 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7174 and 7184. First we will calculate the prime factors of 7174 and 7184.

Prime Factorization of 7174

Prime Factorization of 7184

Now multiplying the highest exponent prime factors to calculate the LCM of 7174 and 7184.

LCM(7174,7184) = 2⁴ × 17¹ × 211¹ × 449¹
LCM(7174,7184) = 25769008