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What is the Least Common Multiple of 56141 and 56149?

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 56141 and 56149 is 3152261009.

LCM(56141,56149) = 3152261009

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Least Common Multiple of 56141 and 56149 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56141 and 56149, than apply into the LCM equation.

GCF(56141,56149) = 1
LCM(56141,56149) = ( 56141 × 56149) / 1
LCM(56141,56149) = 3152261009 / 1
LCM(56141,56149) = 3152261009

Least Common Multiple (LCM) of 56141 and 56149 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56141 and 56149. First we will calculate the prime factors of 56141 and 56149.

Prime Factorization of 56141

Prime factors of 56141 are 31, 1811. Prime factorization of 56141 in exponential form is:

56141 = 311 × 18111

Prime Factorization of 56149

Prime factors of 56149 are 56149. Prime factorization of 56149 in exponential form is:

56149 = 561491

Now multiplying the highest exponent prime factors to calculate the LCM of 56141 and 56149.

LCM(56141,56149) = 311 × 18111 × 561491
LCM(56141,56149) = 3152261009