What is the Least Common Multiple of 28085 and 28102?

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 28085 and 28102 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28085 and 28102, than apply into the LCM equation.

GCF(28085,28102) = 1
LCM(28085,28102) = ( 28085 × 28102) / 1
LCM(28085,28102) = 789244670 / 1
LCM(28085,28102) = 789244670

Least Common Multiple (LCM) of 28085 and 28102 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28085 and 28102. First we will calculate the prime factors of 28085 and 28102.

Prime Factorization of 28085

Prime Factorization of 28102

Now multiplying the highest exponent prime factors to calculate the LCM of 28085 and 28102.

LCM(28085,28102) = 5¹ × 41¹ × 137¹ × 2¹ × 14051¹
LCM(28085,28102) = 789244670