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What is the Least Common Multiple of 2122 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 2122 and 2139 is 4538958.

LCM(2122,2139) = 4538958

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Least Common Multiple of 2122 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 2122 and 2139, than apply into the LCM equation.

GCF(2122,2139) = 1
LCM(2122,2139) = ( 2122 × 2139) / 1
LCM(2122,2139) = 4538958 / 1
LCM(2122,2139) = 4538958

Least Common Multiple (LCM) of 2122 and 2139 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2122 and 2139. First we will calculate the prime factors of 2122 and 2139.

Prime Factorization of 2122

Prime factors of 2122 are 2, 1061. Prime factorization of 2122 in exponential form is:

2122 = 21 × 10611

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 2122 and 2139.

LCM(2122,2139) = 21 × 10611 × 31 × 231 × 311
LCM(2122,2139) = 4538958