What is the Least Common Multiple of 83940 and 83959?

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 83940 and 83959 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83940 and 83959, than apply into the LCM equation.

GCF(83940,83959) = 1
LCM(83940,83959) = ( 83940 × 83959) / 1
LCM(83940,83959) = 7047518460 / 1
LCM(83940,83959) = 7047518460

Least Common Multiple (LCM) of 83940 and 83959 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83940 and 83959. First we will calculate the prime factors of 83940 and 83959.

Prime Factorization of 83940

Prime Factorization of 83959

Now multiplying the highest exponent prime factors to calculate the LCM of 83940 and 83959.

LCM(83940,83959) = 2² × 3¹ × 5¹ × 1399¹ × 113¹ × 743¹
LCM(83940,83959) = 7047518460