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What is the Least Common Multiple of 56129 and 56139?

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 56129 and 56139 is 3151025931.

LCM(56129,56139) = 3151025931

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Least Common Multiple of 56129 and 56139 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56129 and 56139, than apply into the LCM equation.

GCF(56129,56139) = 1
LCM(56129,56139) = ( 56129 × 56139) / 1
LCM(56129,56139) = 3151025931 / 1
LCM(56129,56139) = 3151025931

Least Common Multiple (LCM) of 56129 and 56139 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56129 and 56139. First we will calculate the prime factors of 56129 and 56139.

Prime Factorization of 56129

Prime factors of 56129 are 37, 41. Prime factorization of 56129 in exponential form is:

56129 = 372 × 411

Prime Factorization of 56139

Prime factors of 56139 are 3, 18713. Prime factorization of 56139 in exponential form is:

56139 = 31 × 187131

Now multiplying the highest exponent prime factors to calculate the LCM of 56129 and 56139.

LCM(56129,56139) = 372 × 411 × 31 × 187131
LCM(56129,56139) = 3151025931