GCF and LCM Calculator Logo

What is the Least Common Multiple of 28094 and 28098?

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 28094 and 28098 is 394692606.

LCM(28094,28098) = 394692606

LCM Calculator and
and

Least Common Multiple of 28094 and 28098 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28094 and 28098, than apply into the LCM equation.

GCF(28094,28098) = 2
LCM(28094,28098) = ( 28094 × 28098) / 2
LCM(28094,28098) = 789385212 / 2
LCM(28094,28098) = 394692606

Least Common Multiple (LCM) of 28094 and 28098 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28094 and 28098. First we will calculate the prime factors of 28094 and 28098.

Prime Factorization of 28094

Prime factors of 28094 are 2, 11, 1277. Prime factorization of 28094 in exponential form is:

28094 = 21 × 111 × 12771

Prime Factorization of 28098

Prime factors of 28098 are 2, 3, 7, 223. Prime factorization of 28098 in exponential form is:

28098 = 21 × 32 × 71 × 2231

Now multiplying the highest exponent prime factors to calculate the LCM of 28094 and 28098.

LCM(28094,28098) = 21 × 111 × 12771 × 32 × 71 × 2231
LCM(28094,28098) = 394692606