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What is the Least Common Multiple of 2103 and 2117?

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 2103 and 2117 is 4452051.

LCM(2103,2117) = 4452051

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Least Common Multiple of 2103 and 2117 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2103 and 2117, than apply into the LCM equation.

GCF(2103,2117) = 1
LCM(2103,2117) = ( 2103 × 2117) / 1
LCM(2103,2117) = 4452051 / 1
LCM(2103,2117) = 4452051

Least Common Multiple (LCM) of 2103 and 2117 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2103 and 2117. First we will calculate the prime factors of 2103 and 2117.

Prime Factorization of 2103

Prime factors of 2103 are 3, 701. Prime factorization of 2103 in exponential form is:

2103 = 31 × 7011

Prime Factorization of 2117

Prime factors of 2117 are 29, 73. Prime factorization of 2117 in exponential form is:

2117 = 291 × 731

Now multiplying the highest exponent prime factors to calculate the LCM of 2103 and 2117.

LCM(2103,2117) = 31 × 7011 × 291 × 731
LCM(2103,2117) = 4452051