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What is the Least Common Multiple of 63773 and 63785?

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 63773 and 63785 is 4067760805.

LCM(63773,63785) = 4067760805

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Least Common Multiple of 63773 and 63785 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63773 and 63785, than apply into the LCM equation.

GCF(63773,63785) = 1
LCM(63773,63785) = ( 63773 × 63785) / 1
LCM(63773,63785) = 4067760805 / 1
LCM(63773,63785) = 4067760805

Least Common Multiple (LCM) of 63773 and 63785 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63773 and 63785. First we will calculate the prime factors of 63773 and 63785.

Prime Factorization of 63773

Prime factors of 63773 are 63773. Prime factorization of 63773 in exponential form is:

63773 = 637731

Prime Factorization of 63785

Prime factors of 63785 are 5, 12757. Prime factorization of 63785 in exponential form is:

63785 = 51 × 127571

Now multiplying the highest exponent prime factors to calculate the LCM of 63773 and 63785.

LCM(63773,63785) = 637731 × 51 × 127571
LCM(63773,63785) = 4067760805