What is the Least Common Multiple of 83999 and 84013?

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 83999 and 84013 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83999 and 84013, than apply into the LCM equation.

GCF(83999,84013) = 1
LCM(83999,84013) = ( 83999 × 84013) / 1
LCM(83999,84013) = 7057007987 / 1
LCM(83999,84013) = 7057007987

Least Common Multiple (LCM) of 83999 and 84013 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83999 and 84013. First we will calculate the prime factors of 83999 and 84013.

Prime Factorization of 83999

Prime Factorization of 84013

Now multiplying the highest exponent prime factors to calculate the LCM of 83999 and 84013.

LCM(83999,84013) = 19¹ × 4421¹ × 29¹ × 2897¹
LCM(83999,84013) = 7057007987