GCF and LCM Calculator Logo

What is the Least Common Multiple of 28463 and 28475?

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 28463 and 28475 is 810483925.

LCM(28463,28475) = 810483925

LCM Calculator and
and

Least Common Multiple of 28463 and 28475 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28463 and 28475, than apply into the LCM equation.

GCF(28463,28475) = 1
LCM(28463,28475) = ( 28463 × 28475) / 1
LCM(28463,28475) = 810483925 / 1
LCM(28463,28475) = 810483925

Least Common Multiple (LCM) of 28463 and 28475 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28463 and 28475. First we will calculate the prime factors of 28463 and 28475.

Prime Factorization of 28463

Prime factors of 28463 are 28463. Prime factorization of 28463 in exponential form is:

28463 = 284631

Prime Factorization of 28475

Prime factors of 28475 are 5, 17, 67. Prime factorization of 28475 in exponential form is:

28475 = 52 × 171 × 671

Now multiplying the highest exponent prime factors to calculate the LCM of 28463 and 28475.

LCM(28463,28475) = 284631 × 52 × 171 × 671
LCM(28463,28475) = 810483925