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What is the Least Common Multiple of 9772 and 9779?

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 9772 and 9779 is 13651484.

LCM(9772,9779) = 13651484

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Least Common Multiple of 9772 and 9779 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9772 and 9779, than apply into the LCM equation.

GCF(9772,9779) = 7
LCM(9772,9779) = ( 9772 × 9779) / 7
LCM(9772,9779) = 95560388 / 7
LCM(9772,9779) = 13651484

Least Common Multiple (LCM) of 9772 and 9779 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9772 and 9779. First we will calculate the prime factors of 9772 and 9779.

Prime Factorization of 9772

Prime factors of 9772 are 2, 7, 349. Prime factorization of 9772 in exponential form is:

9772 = 22 × 71 × 3491

Prime Factorization of 9779

Prime factors of 9779 are 7, 11, 127. Prime factorization of 9779 in exponential form is:

9779 = 71 × 111 × 1271

Now multiplying the highest exponent prime factors to calculate the LCM of 9772 and 9779.

LCM(9772,9779) = 22 × 71 × 3491 × 111 × 1271
LCM(9772,9779) = 13651484