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What is the Least Common Multiple of 2139 and 2154?

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 2139 and 2154 is 1535802.

LCM(2139,2154) = 1535802

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Least Common Multiple of 2139 and 2154 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2139 and 2154, than apply into the LCM equation.

GCF(2139,2154) = 3
LCM(2139,2154) = ( 2139 × 2154) / 3
LCM(2139,2154) = 4607406 / 3
LCM(2139,2154) = 1535802

Least Common Multiple (LCM) of 2139 and 2154 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2139 and 2154. First we will calculate the prime factors of 2139 and 2154.

Prime Factorization of 2139

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

2139 = 31 × 231 × 311

Prime Factorization of 2154

Prime factors of 2154 are 2, 3, 359. Prime factorization of 2154 in exponential form is:

2154 = 21 × 31 × 3591

Now multiplying the highest exponent prime factors to calculate the LCM of 2139 and 2154.

LCM(2139,2154) = 31 × 231 × 311 × 21 × 3591
LCM(2139,2154) = 1535802