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What is the Least Common Multiple of 4773 and 4788?

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 4773 and 4788 is 7617708.

LCM(4773,4788) = 7617708

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Least Common Multiple of 4773 and 4788 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4773 and 4788, than apply into the LCM equation.

GCF(4773,4788) = 3
LCM(4773,4788) = ( 4773 × 4788) / 3
LCM(4773,4788) = 22853124 / 3
LCM(4773,4788) = 7617708

Least Common Multiple (LCM) of 4773 and 4788 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4773 and 4788. First we will calculate the prime factors of 4773 and 4788.

Prime Factorization of 4773

Prime factors of 4773 are 3, 37, 43. Prime factorization of 4773 in exponential form is:

4773 = 31 × 371 × 431

Prime Factorization of 4788

Prime factors of 4788 are 2, 3, 7, 19. Prime factorization of 4788 in exponential form is:

4788 = 22 × 32 × 71 × 191

Now multiplying the highest exponent prime factors to calculate the LCM of 4773 and 4788.

LCM(4773,4788) = 32 × 371 × 431 × 22 × 71 × 191
LCM(4773,4788) = 7617708