What is the Least Common Multiple of 27993 and 28007?

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 27993 and 28007 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27993 and 28007, than apply into the LCM equation.

GCF(27993,28007) = 7
LCM(27993,28007) = ( 27993 × 28007) / 7
LCM(27993,28007) = 783999951 / 7
LCM(27993,28007) = 111999993

Least Common Multiple (LCM) of 27993 and 28007 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27993 and 28007. First we will calculate the prime factors of 27993 and 28007.

Prime Factorization of 27993

Prime Factorization of 28007

Now multiplying the highest exponent prime factors to calculate the LCM of 27993 and 28007.

LCM(27993,28007) = 3¹ × 7¹ × 31¹ × 43¹ × 4001¹
LCM(27993,28007) = 111999993