GCF and LCM Calculator Logo

What is the Least Common Multiple of 28483 and 28497?

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 28483 and 28497 is 115954293.

LCM(28483,28497) = 115954293

LCM Calculator and
and

Least Common Multiple of 28483 and 28497 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28483 and 28497, than apply into the LCM equation.

GCF(28483,28497) = 7
LCM(28483,28497) = ( 28483 × 28497) / 7
LCM(28483,28497) = 811680051 / 7
LCM(28483,28497) = 115954293

Least Common Multiple (LCM) of 28483 and 28497 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28483 and 28497. First we will calculate the prime factors of 28483 and 28497.

Prime Factorization of 28483

Prime factors of 28483 are 7, 13, 313. Prime factorization of 28483 in exponential form is:

28483 = 71 × 131 × 3131

Prime Factorization of 28497

Prime factors of 28497 are 3, 7, 23, 59. Prime factorization of 28497 in exponential form is:

28497 = 31 × 71 × 231 × 591

Now multiplying the highest exponent prime factors to calculate the LCM of 28483 and 28497.

LCM(28483,28497) = 71 × 131 × 3131 × 31 × 231 × 591
LCM(28483,28497) = 115954293