GCF and LCM Calculator Logo

What is the Least Common Multiple of 15084 and 15090?

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 15084 and 15090 is 37936260.

LCM(15084,15090) = 37936260

LCM Calculator and
and

Least Common Multiple of 15084 and 15090 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15084 and 15090, than apply into the LCM equation.

GCF(15084,15090) = 6
LCM(15084,15090) = ( 15084 × 15090) / 6
LCM(15084,15090) = 227617560 / 6
LCM(15084,15090) = 37936260

Least Common Multiple (LCM) of 15084 and 15090 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15084 and 15090. First we will calculate the prime factors of 15084 and 15090.

Prime Factorization of 15084

Prime factors of 15084 are 2, 3, 419. Prime factorization of 15084 in exponential form is:

15084 = 22 × 32 × 4191

Prime Factorization of 15090

Prime factors of 15090 are 2, 3, 5, 503. Prime factorization of 15090 in exponential form is:

15090 = 21 × 31 × 51 × 5031

Now multiplying the highest exponent prime factors to calculate the LCM of 15084 and 15090.

LCM(15084,15090) = 22 × 32 × 4191 × 51 × 5031
LCM(15084,15090) = 37936260