What is the Least Common Multiple of 83139 and 83145?

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 83139 and 83145 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83139 and 83145, than apply into the LCM equation.

GCF(83139,83145) = 3
LCM(83139,83145) = ( 83139 × 83145) / 3
LCM(83139,83145) = 6912592155 / 3
LCM(83139,83145) = 2304197385

Least Common Multiple (LCM) of 83139 and 83145 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83139 and 83145. First we will calculate the prime factors of 83139 and 83145.

Prime Factorization of 83139

Prime Factorization of 83145

Now multiplying the highest exponent prime factors to calculate the LCM of 83139 and 83145.

LCM(83139,83145) = 3¹ × 7¹ × 37¹ × 107¹ × 5¹ × 23¹ × 241¹
LCM(83139,83145) = 2304197385