What is the Least Common Multiple of 83850 and 83859?

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 83850 and 83859 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83850 and 83859, than apply into the LCM equation.

GCF(83850,83859) = 3
LCM(83850,83859) = ( 83850 × 83859) / 3
LCM(83850,83859) = 7031577150 / 3
LCM(83850,83859) = 2343859050

Least Common Multiple (LCM) of 83850 and 83859 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83850 and 83859. First we will calculate the prime factors of 83850 and 83859.

Prime Factorization of 83850

Prime Factorization of 83859

Now multiplying the highest exponent prime factors to calculate the LCM of 83850 and 83859.

LCM(83850,83859) = 2¹ × 3¹ × 5² × 13¹ × 43¹ × 27953¹
LCM(83850,83859) = 2343859050