GCF and LCM Calculator Logo

What is the Least Common Multiple of 15156 and 15174?

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 (LCM) of 15156 and 15174 is 12776508.

LCM(15156,15174) = 12776508

LCM Calculator and
and

Least Common Multiple of 15156 and 15174 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15156 and 15174, than apply into the LCM equation.

GCF(15156,15174) = 18
LCM(15156,15174) = ( 15156 × 15174) / 18
LCM(15156,15174) = 229977144 / 18
LCM(15156,15174) = 12776508

Least Common Multiple (LCM) of 15156 and 15174 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15156 and 15174. First we will calculate the prime factors of 15156 and 15174.

Prime Factorization of 15156

Prime factors of 15156 are 2, 3, 421. Prime factorization of 15156 in exponential form is:

15156 = 22 × 32 × 4211

Prime Factorization of 15174

Prime factors of 15174 are 2, 3, 281. Prime factorization of 15174 in exponential form is:

15174 = 21 × 33 × 2811

Now multiplying the highest exponent prime factors to calculate the LCM of 15156 and 15174.

LCM(15156,15174) = 22 × 33 × 4211 × 2811
LCM(15156,15174) = 12776508