GCF and LCM Calculator Logo

What is the Least Common Multiple of 28134 and 28138?

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 28134 and 28138 is 395817246.

LCM(28134,28138) = 395817246

LCM Calculator and
and

Least Common Multiple of 28134 and 28138 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28134 and 28138, than apply into the LCM equation.

GCF(28134,28138) = 2
LCM(28134,28138) = ( 28134 × 28138) / 2
LCM(28134,28138) = 791634492 / 2
LCM(28134,28138) = 395817246

Least Common Multiple (LCM) of 28134 and 28138 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28134 and 28138. First we will calculate the prime factors of 28134 and 28138.

Prime Factorization of 28134

Prime factors of 28134 are 2, 3, 521. Prime factorization of 28134 in exponential form is:

28134 = 21 × 33 × 5211

Prime Factorization of 28138

Prime factors of 28138 are 2, 11, 1279. Prime factorization of 28138 in exponential form is:

28138 = 21 × 111 × 12791

Now multiplying the highest exponent prime factors to calculate the LCM of 28134 and 28138.

LCM(28134,28138) = 21 × 33 × 5211 × 111 × 12791
LCM(28134,28138) = 395817246