What is the Least Common Multiple of 83994 and 84001?

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 83994 and 84001 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83994 and 84001, than apply into the LCM equation.

GCF(83994,84001) = 1
LCM(83994,84001) = ( 83994 × 84001) / 1
LCM(83994,84001) = 7055579994 / 1
LCM(83994,84001) = 7055579994

Least Common Multiple (LCM) of 83994 and 84001 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83994 and 84001. First we will calculate the prime factors of 83994 and 84001.

Prime Factorization of 83994

Prime Factorization of 84001

Now multiplying the highest exponent prime factors to calculate the LCM of 83994 and 84001.

LCM(83994,84001) = 2¹ × 3¹ × 13999¹ × 167¹ × 503¹
LCM(83994,84001) = 7055579994