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What is the Least Common Multiple of 7761 and 7779?

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 7761 and 7779 is 20124273.

LCM(7761,7779) = 20124273

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Least Common Multiple of 7761 and 7779 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7761 and 7779, than apply into the LCM equation.

GCF(7761,7779) = 3
LCM(7761,7779) = ( 7761 × 7779) / 3
LCM(7761,7779) = 60372819 / 3
LCM(7761,7779) = 20124273

Least Common Multiple (LCM) of 7761 and 7779 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7761 and 7779. First we will calculate the prime factors of 7761 and 7779.

Prime Factorization of 7761

Prime factors of 7761 are 3, 13, 199. Prime factorization of 7761 in exponential form is:

7761 = 31 × 131 × 1991

Prime Factorization of 7779

Prime factors of 7779 are 3, 2593. Prime factorization of 7779 in exponential form is:

7779 = 31 × 25931

Now multiplying the highest exponent prime factors to calculate the LCM of 7761 and 7779.

LCM(7761,7779) = 31 × 131 × 1991 × 25931
LCM(7761,7779) = 20124273