What is the Least Common Multiple of 2117 and 2136?

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 2136 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 2136, than apply into the LCM equation.

GCF(2117,2136) = 1
LCM(2117,2136) = ( 2117 × 2136) / 1
LCM(2117,2136) = 4521912 / 1
LCM(2117,2136) = 4521912

Least Common Multiple (LCM) of 2117 and 2136 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2117 and 2136. First we will calculate the prime factors of 2117 and 2136.

Prime Factorization of 2117

Prime Factorization of 2136

Now multiplying the highest exponent prime factors to calculate the LCM of 2117 and 2136.

LCM(2117,2136) = 29¹ × 73¹ × 2³ × 3¹ × 89¹
LCM(2117,2136) = 4521912