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What is the Least Common Multiple of 10719 and 10729?

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 10719 and 10729 is 115004151.

LCM(10719,10729) = 115004151

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Least Common Multiple of 10719 and 10729 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10719 and 10729, than apply into the LCM equation.

GCF(10719,10729) = 1
LCM(10719,10729) = ( 10719 × 10729) / 1
LCM(10719,10729) = 115004151 / 1
LCM(10719,10729) = 115004151

Least Common Multiple (LCM) of 10719 and 10729 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10719 and 10729. First we will calculate the prime factors of 10719 and 10729.

Prime Factorization of 10719

Prime factors of 10719 are 3, 397. Prime factorization of 10719 in exponential form is:

10719 = 33 × 3971

Prime Factorization of 10729

Prime factors of 10729 are 10729. Prime factorization of 10729 in exponential form is:

10729 = 107291

Now multiplying the highest exponent prime factors to calculate the LCM of 10719 and 10729.

LCM(10719,10729) = 33 × 3971 × 107291
LCM(10719,10729) = 115004151