What is the Least Common Multiple of 8120 and 8133?

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 8120 and 8133 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8120 and 8133, than apply into the LCM equation.

GCF(8120,8133) = 1
LCM(8120,8133) = ( 8120 × 8133) / 1
LCM(8120,8133) = 66039960 / 1
LCM(8120,8133) = 66039960

Least Common Multiple (LCM) of 8120 and 8133 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8120 and 8133. First we will calculate the prime factors of 8120 and 8133.

Prime Factorization of 8120

Prime Factorization of 8133

Now multiplying the highest exponent prime factors to calculate the LCM of 8120 and 8133.

LCM(8120,8133) = 2³ × 5¹ × 7¹ × 29¹ × 3¹ × 2711¹
LCM(8120,8133) = 66039960