GCF and LCM Calculator Logo

What is the Least Common Multiple of 28535 and 28543?

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 28535 and 28543 is 814474505.

LCM(28535,28543) = 814474505

LCM Calculator and
and

Least Common Multiple of 28535 and 28543 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28535 and 28543, than apply into the LCM equation.

GCF(28535,28543) = 1
LCM(28535,28543) = ( 28535 × 28543) / 1
LCM(28535,28543) = 814474505 / 1
LCM(28535,28543) = 814474505

Least Common Multiple (LCM) of 28535 and 28543 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28535 and 28543. First we will calculate the prime factors of 28535 and 28543.

Prime Factorization of 28535

Prime factors of 28535 are 5, 13, 439. Prime factorization of 28535 in exponential form is:

28535 = 51 × 131 × 4391

Prime Factorization of 28543

Prime factors of 28543 are 17, 23, 73. Prime factorization of 28543 in exponential form is:

28543 = 171 × 231 × 731

Now multiplying the highest exponent prime factors to calculate the LCM of 28535 and 28543.

LCM(28535,28543) = 51 × 131 × 4391 × 171 × 231 × 731
LCM(28535,28543) = 814474505