What is the Least Common Multiple of 83320 and 83335?

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 83320 and 83335 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83320 and 83335, than apply into the LCM equation.

GCF(83320,83335) = 5
LCM(83320,83335) = ( 83320 × 83335) / 5
LCM(83320,83335) = 6943472200 / 5
LCM(83320,83335) = 1388694440

Least Common Multiple (LCM) of 83320 and 83335 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83320 and 83335. First we will calculate the prime factors of 83320 and 83335.

Prime Factorization of 83320

Prime Factorization of 83335

Now multiplying the highest exponent prime factors to calculate the LCM of 83320 and 83335.

LCM(83320,83335) = 2³ × 5¹ × 2083¹ × 7¹ × 2381¹
LCM(83320,83335) = 1388694440