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What is the Least Common Multiple of 4763 and 4778?

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 4763 and 4778 is 22757614.

LCM(4763,4778) = 22757614

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Least Common Multiple of 4763 and 4778 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4763 and 4778, than apply into the LCM equation.

GCF(4763,4778) = 1
LCM(4763,4778) = ( 4763 × 4778) / 1
LCM(4763,4778) = 22757614 / 1
LCM(4763,4778) = 22757614

Least Common Multiple (LCM) of 4763 and 4778 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4763 and 4778. First we will calculate the prime factors of 4763 and 4778.

Prime Factorization of 4763

Prime factors of 4763 are 11, 433. Prime factorization of 4763 in exponential form is:

4763 = 111 × 4331

Prime Factorization of 4778

Prime factors of 4778 are 2, 2389. Prime factorization of 4778 in exponential form is:

4778 = 21 × 23891

Now multiplying the highest exponent prime factors to calculate the LCM of 4763 and 4778.

LCM(4763,4778) = 111 × 4331 × 21 × 23891
LCM(4763,4778) = 22757614