What is the Least Common Multiple of 83380 and 83385?

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 83380 and 83385 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83380 and 83385, than apply into the LCM equation.

GCF(83380,83385) = 5
LCM(83380,83385) = ( 83380 × 83385) / 5
LCM(83380,83385) = 6952641300 / 5
LCM(83380,83385) = 1390528260

Least Common Multiple (LCM) of 83380 and 83385 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83380 and 83385. First we will calculate the prime factors of 83380 and 83385.

Prime Factorization of 83380

Prime Factorization of 83385

Now multiplying the highest exponent prime factors to calculate the LCM of 83380 and 83385.

LCM(83380,83385) = 2² × 5¹ × 11¹ × 379¹ × 3² × 17¹ × 109¹
LCM(83380,83385) = 1390528260