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What is the Least Common Multiple of 7765 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 7765 and 7779 is 60403935.

LCM(7765,7779) = 60403935

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Least Common Multiple of 7765 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 7765 and 7779, than apply into the LCM equation.

GCF(7765,7779) = 1
LCM(7765,7779) = ( 7765 × 7779) / 1
LCM(7765,7779) = 60403935 / 1
LCM(7765,7779) = 60403935

Least Common Multiple (LCM) of 7765 and 7779 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7765 and 7779. First we will calculate the prime factors of 7765 and 7779.

Prime Factorization of 7765

Prime factors of 7765 are 5, 1553. Prime factorization of 7765 in exponential form is:

7765 = 51 × 15531

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 7765 and 7779.

LCM(7765,7779) = 51 × 15531 × 31 × 25931
LCM(7765,7779) = 60403935