What is the Least Common Multiple of 28080 and 28100?

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 28080 and 28100 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28080 and 28100, than apply into the LCM equation.

GCF(28080,28100) = 20
LCM(28080,28100) = ( 28080 × 28100) / 20
LCM(28080,28100) = 789048000 / 20
LCM(28080,28100) = 39452400

Least Common Multiple (LCM) of 28080 and 28100 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28080 and 28100. First we will calculate the prime factors of 28080 and 28100.

Prime Factorization of 28080

Prime Factorization of 28100

Now multiplying the highest exponent prime factors to calculate the LCM of 28080 and 28100.

LCM(28080,28100) = 2⁴ × 3³ × 5² × 13¹ × 281¹
LCM(28080,28100) = 39452400