What is the Least Common Multiple of 28112 and 28131?

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 of 28112 and 28131 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28112 and 28131, than apply into the LCM equation.

GCF(28112,28131) = 1
LCM(28112,28131) = ( 28112 × 28131) / 1
LCM(28112,28131) = 790818672 / 1
LCM(28112,28131) = 790818672

Least Common Multiple (LCM) of 28112 and 28131 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28112 and 28131. First we will calculate the prime factors of 28112 and 28131.

Prime Factorization of 28112

Prime Factorization of 28131

Now multiplying the highest exponent prime factors to calculate the LCM of 28112 and 28131.

LCM(28112,28131) = 2⁴ × 7¹ × 251¹ × 3¹ × 9377¹
LCM(28112,28131) = 790818672