What is the Least Common Multiple of 28123 and 28140?

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 28123 and 28140 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28123 and 28140, than apply into the LCM equation.

GCF(28123,28140) = 1
LCM(28123,28140) = ( 28123 × 28140) / 1
LCM(28123,28140) = 791381220 / 1
LCM(28123,28140) = 791381220

Least Common Multiple (LCM) of 28123 and 28140 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28123 and 28140. First we will calculate the prime factors of 28123 and 28140.

Prime Factorization of 28123

Prime Factorization of 28140

Now multiplying the highest exponent prime factors to calculate the LCM of 28123 and 28140.

LCM(28123,28140) = 28123¹ × 2² × 3¹ × 5¹ × 7¹ × 67¹
LCM(28123,28140) = 791381220