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What is the Least Common Multiple of 10772 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 10772 and 10785 is 116176020.

LCM(10772,10785) = 116176020

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Least Common Multiple of 10772 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 10772 and 10785, than apply into the LCM equation.

GCF(10772,10785) = 1
LCM(10772,10785) = ( 10772 × 10785) / 1
LCM(10772,10785) = 116176020 / 1
LCM(10772,10785) = 116176020

Least Common Multiple (LCM) of 10772 and 10785 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10772 and 10785. First we will calculate the prime factors of 10772 and 10785.

Prime Factorization of 10772

Prime factors of 10772 are 2, 2693. Prime factorization of 10772 in exponential form is:

10772 = 22 × 26931

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 10772 and 10785.

LCM(10772,10785) = 22 × 26931 × 31 × 51 × 7191
LCM(10772,10785) = 116176020