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What is the Least Common Multiple of 10770 and 10779?

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 10770 and 10779 is 38696610.

LCM(10770,10779) = 38696610

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Least Common Multiple of 10770 and 10779 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10770 and 10779, than apply into the LCM equation.

GCF(10770,10779) = 3
LCM(10770,10779) = ( 10770 × 10779) / 3
LCM(10770,10779) = 116089830 / 3
LCM(10770,10779) = 38696610

Least Common Multiple (LCM) of 10770 and 10779 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10770 and 10779. First we will calculate the prime factors of 10770 and 10779.

Prime Factorization of 10770

Prime factors of 10770 are 2, 3, 5, 359. Prime factorization of 10770 in exponential form is:

10770 = 21 × 31 × 51 × 3591

Prime Factorization of 10779

Prime factors of 10779 are 3, 3593. Prime factorization of 10779 in exponential form is:

10779 = 31 × 35931

Now multiplying the highest exponent prime factors to calculate the LCM of 10770 and 10779.

LCM(10770,10779) = 21 × 31 × 51 × 3591 × 35931
LCM(10770,10779) = 38696610