What is the Least Common Multiple of 82995 and 83000?

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 82995 and 83000 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82995 and 83000, than apply into the LCM equation.

GCF(82995,83000) = 5
LCM(82995,83000) = ( 82995 × 83000) / 5
LCM(82995,83000) = 6888585000 / 5
LCM(82995,83000) = 1377717000

Least Common Multiple (LCM) of 82995 and 83000 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82995 and 83000. First we will calculate the prime factors of 82995 and 83000.

Prime Factorization of 82995

Prime Factorization of 83000

Now multiplying the highest exponent prime factors to calculate the LCM of 82995 and 83000.

LCM(82995,83000) = 3¹ × 5³ × 11¹ × 503¹ × 2³ × 83¹
LCM(82995,83000) = 1377717000