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What is the Least Common Multiple of 2084 and 2093?

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 2084 and 2093 is 4361812.

LCM(2084,2093) = 4361812

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Least Common Multiple of 2084 and 2093 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2084 and 2093, than apply into the LCM equation.

GCF(2084,2093) = 1
LCM(2084,2093) = ( 2084 × 2093) / 1
LCM(2084,2093) = 4361812 / 1
LCM(2084,2093) = 4361812

Least Common Multiple (LCM) of 2084 and 2093 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2084 and 2093. First we will calculate the prime factors of 2084 and 2093.

Prime Factorization of 2084

Prime factors of 2084 are 2, 521. Prime factorization of 2084 in exponential form is:

2084 = 22 × 5211

Prime Factorization of 2093

Prime factors of 2093 are 7, 13, 23. Prime factorization of 2093 in exponential form is:

2093 = 71 × 131 × 231

Now multiplying the highest exponent prime factors to calculate the LCM of 2084 and 2093.

LCM(2084,2093) = 22 × 5211 × 71 × 131 × 231
LCM(2084,2093) = 4361812