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What is the Least Common Multiple of 10739 and 10757?

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 10739 and 10757 is 115519423.

LCM(10739,10757) = 115519423

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Least Common Multiple of 10739 and 10757 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10739 and 10757, than apply into the LCM equation.

GCF(10739,10757) = 1
LCM(10739,10757) = ( 10739 × 10757) / 1
LCM(10739,10757) = 115519423 / 1
LCM(10739,10757) = 115519423

Least Common Multiple (LCM) of 10739 and 10757 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10739 and 10757. First we will calculate the prime factors of 10739 and 10757.

Prime Factorization of 10739

Prime factors of 10739 are 10739. Prime factorization of 10739 in exponential form is:

10739 = 107391

Prime Factorization of 10757

Prime factors of 10757 are 31, 347. Prime factorization of 10757 in exponential form is:

10757 = 311 × 3471

Now multiplying the highest exponent prime factors to calculate the LCM of 10739 and 10757.

LCM(10739,10757) = 107391 × 311 × 3471
LCM(10739,10757) = 115519423