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What is the Least Common Multiple of 2123 and 2139?

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 2123 and 2139 is 4541097.

LCM(2123,2139) = 4541097

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Least Common Multiple of 2123 and 2139 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2123 and 2139, than apply into the LCM equation.

GCF(2123,2139) = 1
LCM(2123,2139) = ( 2123 × 2139) / 1
LCM(2123,2139) = 4541097 / 1
LCM(2123,2139) = 4541097

Least Common Multiple (LCM) of 2123 and 2139 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2123 and 2139. First we will calculate the prime factors of 2123 and 2139.

Prime Factorization of 2123

Prime factors of 2123 are 11, 193. Prime factorization of 2123 in exponential form is:

2123 = 111 × 1931

Prime Factorization of 2139

Prime factors of 2139 are 3, 23, 31. Prime factorization of 2139 in exponential form is:

2139 = 31 × 231 × 311

Now multiplying the highest exponent prime factors to calculate the LCM of 2123 and 2139.

LCM(2123,2139) = 111 × 1931 × 31 × 231 × 311
LCM(2123,2139) = 4541097