What is the Least Common Multiple of 83316 and 83325?

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 83316 and 83325 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83316 and 83325, than apply into the LCM equation.

GCF(83316,83325) = 3
LCM(83316,83325) = ( 83316 × 83325) / 3
LCM(83316,83325) = 6942305700 / 3
LCM(83316,83325) = 2314101900

Least Common Multiple (LCM) of 83316 and 83325 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83316 and 83325. First we will calculate the prime factors of 83316 and 83325.

Prime Factorization of 83316

Prime Factorization of 83325

Now multiplying the highest exponent prime factors to calculate the LCM of 83316 and 83325.

LCM(83316,83325) = 2² × 3¹ × 53¹ × 131¹ × 5² × 11¹ × 101¹
LCM(83316,83325) = 2314101900