What is the Least Common Multiple of 2117 and 2133?

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 2117 and 2133 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2117 and 2133, than apply into the LCM equation.

GCF(2117,2133) = 1
LCM(2117,2133) = ( 2117 × 2133) / 1
LCM(2117,2133) = 4515561 / 1
LCM(2117,2133) = 4515561

Least Common Multiple (LCM) of 2117 and 2133 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2117 and 2133. First we will calculate the prime factors of 2117 and 2133.

Prime Factorization of 2117

Prime Factorization of 2133

Now multiplying the highest exponent prime factors to calculate the LCM of 2117 and 2133.

LCM(2117,2133) = 29¹ × 73¹ × 3³ × 79¹
LCM(2117,2133) = 4515561