What is the Least Common Multiple of 83175 and 83180?

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 83175 and 83180 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83175 and 83180, than apply into the LCM equation.

GCF(83175,83180) = 5
LCM(83175,83180) = ( 83175 × 83180) / 5
LCM(83175,83180) = 6918496500 / 5
LCM(83175,83180) = 1383699300

Least Common Multiple (LCM) of 83175 and 83180 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83175 and 83180. First we will calculate the prime factors of 83175 and 83180.

Prime Factorization of 83175

Prime Factorization of 83180

Now multiplying the highest exponent prime factors to calculate the LCM of 83175 and 83180.

LCM(83175,83180) = 3¹ × 5² × 1109¹ × 2² × 4159¹
LCM(83175,83180) = 1383699300