What is the Least Common Multiple of 28100 and 28114?

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 28100 and 28114 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28100 and 28114, than apply into the LCM equation.

GCF(28100,28114) = 2
LCM(28100,28114) = ( 28100 × 28114) / 2
LCM(28100,28114) = 790003400 / 2
LCM(28100,28114) = 395001700

Least Common Multiple (LCM) of 28100 and 28114 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28100 and 28114. First we will calculate the prime factors of 28100 and 28114.

Prime Factorization of 28100

Prime Factorization of 28114

Now multiplying the highest exponent prime factors to calculate the LCM of 28100 and 28114.

LCM(28100,28114) = 2² × 5² × 281¹ × 14057¹
LCM(28100,28114) = 395001700