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What is the Least Common Multiple of 10777 and 10785?

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 10777 and 10785 is 116229945.

LCM(10777,10785) = 116229945

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Least Common Multiple of 10777 and 10785 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10777 and 10785, than apply into the LCM equation.

GCF(10777,10785) = 1
LCM(10777,10785) = ( 10777 × 10785) / 1
LCM(10777,10785) = 116229945 / 1
LCM(10777,10785) = 116229945

Least Common Multiple (LCM) of 10777 and 10785 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10777 and 10785. First we will calculate the prime factors of 10777 and 10785.

Prime Factorization of 10777

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

10777 = 131 × 8291

Prime Factorization of 10785

Prime factors of 10785 are 3, 5, 719. Prime factorization of 10785 in exponential form is:

10785 = 31 × 51 × 7191

Now multiplying the highest exponent prime factors to calculate the LCM of 10777 and 10785.

LCM(10777,10785) = 131 × 8291 × 31 × 51 × 7191
LCM(10777,10785) = 116229945