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What is the Least Common Multiple of 2096 and 2108?

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 (LCM) of 2096 and 2108 is 1104592.

LCM(2096,2108) = 1104592

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Least Common Multiple of 2096 and 2108 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2096 and 2108, than apply into the LCM equation.

GCF(2096,2108) = 4
LCM(2096,2108) = ( 2096 × 2108) / 4
LCM(2096,2108) = 4418368 / 4
LCM(2096,2108) = 1104592

Least Common Multiple (LCM) of 2096 and 2108 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2096 and 2108. First we will calculate the prime factors of 2096 and 2108.

Prime Factorization of 2096

Prime factors of 2096 are 2, 131. Prime factorization of 2096 in exponential form is:

2096 = 24 × 1311

Prime Factorization of 2108

Prime factors of 2108 are 2, 17, 31. Prime factorization of 2108 in exponential form is:

2108 = 22 × 171 × 311

Now multiplying the highest exponent prime factors to calculate the LCM of 2096 and 2108.

LCM(2096,2108) = 24 × 1311 × 171 × 311
LCM(2096,2108) = 1104592