What is the Least Common Multiple of 28112 and 28126?

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 28126 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 28126, than apply into the LCM equation.

GCF(28112,28126) = 14
LCM(28112,28126) = ( 28112 × 28126) / 14
LCM(28112,28126) = 790678112 / 14
LCM(28112,28126) = 56477008

Least Common Multiple (LCM) of 28112 and 28126 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28112 and 28126. First we will calculate the prime factors of 28112 and 28126.

Prime Factorization of 28112

Prime Factorization of 28126

Now multiplying the highest exponent prime factors to calculate the LCM of 28112 and 28126.

LCM(28112,28126) = 2⁴ × 7³ × 251¹ × 41¹
LCM(28112,28126) = 56477008