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What is the Least Common Multiple of 10759 and 10777?

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 10759 and 10777 is 115949743.

LCM(10759,10777) = 115949743

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Least Common Multiple of 10759 and 10777 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10759 and 10777, than apply into the LCM equation.

GCF(10759,10777) = 1
LCM(10759,10777) = ( 10759 × 10777) / 1
LCM(10759,10777) = 115949743 / 1
LCM(10759,10777) = 115949743

Least Common Multiple (LCM) of 10759 and 10777 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10759 and 10777. First we will calculate the prime factors of 10759 and 10777.

Prime Factorization of 10759

Prime factors of 10759 are 7, 29, 53. Prime factorization of 10759 in exponential form is:

10759 = 71 × 291 × 531

Prime Factorization of 10777

Prime factors of 10777 are 13, 829. Prime factorization of 10777 in exponential form is:

10777 = 131 × 8291

Now multiplying the highest exponent prime factors to calculate the LCM of 10759 and 10777.

LCM(10759,10777) = 71 × 291 × 531 × 131 × 8291
LCM(10759,10777) = 115949743