What is the Least Common Multiple of 83500 and 83514?

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 83500 and 83514 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83500 and 83514, than apply into the LCM equation.

GCF(83500,83514) = 2
LCM(83500,83514) = ( 83500 × 83514) / 2
LCM(83500,83514) = 6973419000 / 2
LCM(83500,83514) = 3486709500

Least Common Multiple (LCM) of 83500 and 83514 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83500 and 83514. First we will calculate the prime factors of 83500 and 83514.

Prime Factorization of 83500

Prime Factorization of 83514

Now multiplying the highest exponent prime factors to calculate the LCM of 83500 and 83514.

LCM(83500,83514) = 2² × 5³ × 167¹ × 3¹ × 31¹ × 449¹
LCM(83500,83514) = 3486709500