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What is the Least Common Multiple of 7779 and 7788?

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 7779 and 7788 is 20194284.

LCM(7779,7788) = 20194284

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Least Common Multiple of 7779 and 7788 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7779 and 7788, than apply into the LCM equation.

GCF(7779,7788) = 3
LCM(7779,7788) = ( 7779 × 7788) / 3
LCM(7779,7788) = 60582852 / 3
LCM(7779,7788) = 20194284

Least Common Multiple (LCM) of 7779 and 7788 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7779 and 7788. First we will calculate the prime factors of 7779 and 7788.

Prime Factorization of 7779

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

7779 = 31 × 25931

Prime Factorization of 7788

Prime factors of 7788 are 2, 3, 11, 59. Prime factorization of 7788 in exponential form is:

7788 = 22 × 31 × 111 × 591

Now multiplying the highest exponent prime factors to calculate the LCM of 7779 and 7788.

LCM(7779,7788) = 31 × 25931 × 22 × 111 × 591
LCM(7779,7788) = 20194284