What is the Least Common Multiple of 28084 and 28097?

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 28084 and 28097 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28084 and 28097, than apply into the LCM equation.

GCF(28084,28097) = 1
LCM(28084,28097) = ( 28084 × 28097) / 1
LCM(28084,28097) = 789076148 / 1
LCM(28084,28097) = 789076148

Least Common Multiple (LCM) of 28084 and 28097 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28084 and 28097. First we will calculate the prime factors of 28084 and 28097.

Prime Factorization of 28084

Prime Factorization of 28097

Now multiplying the highest exponent prime factors to calculate the LCM of 28084 and 28097.

LCM(28084,28097) = 2² × 7¹ × 17¹ × 59¹ × 28097¹
LCM(28084,28097) = 789076148