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What is the Least Common Multiple of 7787 and 7794?

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 7787 and 7794 is 60691878.

LCM(7787,7794) = 60691878

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Least Common Multiple of 7787 and 7794 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7787 and 7794, than apply into the LCM equation.

GCF(7787,7794) = 1
LCM(7787,7794) = ( 7787 × 7794) / 1
LCM(7787,7794) = 60691878 / 1
LCM(7787,7794) = 60691878

Least Common Multiple (LCM) of 7787 and 7794 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7787 and 7794. First we will calculate the prime factors of 7787 and 7794.

Prime Factorization of 7787

Prime factors of 7787 are 13, 599. Prime factorization of 7787 in exponential form is:

7787 = 131 × 5991

Prime Factorization of 7794

Prime factors of 7794 are 2, 3, 433. Prime factorization of 7794 in exponential form is:

7794 = 21 × 32 × 4331

Now multiplying the highest exponent prime factors to calculate the LCM of 7787 and 7794.

LCM(7787,7794) = 131 × 5991 × 21 × 32 × 4331
LCM(7787,7794) = 60691878