What is the Least Common Multiple of 83981 and 84000?

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 83981 and 84000 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83981 and 84000, than apply into the LCM equation.

GCF(83981,84000) = 1
LCM(83981,84000) = ( 83981 × 84000) / 1
LCM(83981,84000) = 7054404000 / 1
LCM(83981,84000) = 7054404000

Least Common Multiple (LCM) of 83981 and 84000 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83981 and 84000. First we will calculate the prime factors of 83981 and 84000.

Prime Factorization of 83981

Prime Factorization of 84000

Now multiplying the highest exponent prime factors to calculate the LCM of 83981 and 84000.

LCM(83981,84000) = 137¹ × 613¹ × 2⁵ × 3¹ × 5³ × 7¹
LCM(83981,84000) = 7054404000