What is the Least Common Multiple of 15174 and 15184?

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 15174 and 15184 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15174 and 15184, than apply into the LCM equation.

GCF(15174,15184) = 2
LCM(15174,15184) = ( 15174 × 15184) / 2
LCM(15174,15184) = 230402016 / 2
LCM(15174,15184) = 115201008

Least Common Multiple (LCM) of 15174 and 15184 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15174 and 15184. First we will calculate the prime factors of 15174 and 15184.

Prime Factorization of 15174

Prime Factorization of 15184

Now multiplying the highest exponent prime factors to calculate the LCM of 15174 and 15184.

LCM(15174,15184) = 2⁴ × 3³ × 281¹ × 13¹ × 73¹
LCM(15174,15184) = 115201008