GCF and LCM Calculator Logo

What is the Least Common Multiple of 28503 and 28522?

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 28503 and 28522 is 812962566.

LCM(28503,28522) = 812962566

LCM Calculator and
and

Least Common Multiple of 28503 and 28522 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28503 and 28522, than apply into the LCM equation.

GCF(28503,28522) = 1
LCM(28503,28522) = ( 28503 × 28522) / 1
LCM(28503,28522) = 812962566 / 1
LCM(28503,28522) = 812962566

Least Common Multiple (LCM) of 28503 and 28522 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28503 and 28522. First we will calculate the prime factors of 28503 and 28522.

Prime Factorization of 28503

Prime factors of 28503 are 3, 3167. Prime factorization of 28503 in exponential form is:

28503 = 32 × 31671

Prime Factorization of 28522

Prime factors of 28522 are 2, 13, 1097. Prime factorization of 28522 in exponential form is:

28522 = 21 × 131 × 10971

Now multiplying the highest exponent prime factors to calculate the LCM of 28503 and 28522.

LCM(28503,28522) = 32 × 31671 × 21 × 131 × 10971
LCM(28503,28522) = 812962566