What is the Least Common Multiple of 83993 and 84007?

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 83993 and 84007 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83993 and 84007, than apply into the LCM equation.

GCF(83993,84007) = 7
LCM(83993,84007) = ( 83993 × 84007) / 7
LCM(83993,84007) = 7055999951 / 7
LCM(83993,84007) = 1007999993

Least Common Multiple (LCM) of 83993 and 84007 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83993 and 84007. First we will calculate the prime factors of 83993 and 84007.

Prime Factorization of 83993

Prime Factorization of 84007

Now multiplying the highest exponent prime factors to calculate the LCM of 83993 and 84007.

LCM(83993,84007) = 7¹ × 13² × 71¹ × 11¹ × 1091¹
LCM(83993,84007) = 1007999993