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What is the Least Common Multiple of 40773 and 40785?

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 40773 and 40785 is 554308935.

LCM(40773,40785) = 554308935

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Least Common Multiple of 40773 and 40785 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40773 and 40785, than apply into the LCM equation.

GCF(40773,40785) = 3
LCM(40773,40785) = ( 40773 × 40785) / 3
LCM(40773,40785) = 1662926805 / 3
LCM(40773,40785) = 554308935

Least Common Multiple (LCM) of 40773 and 40785 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40773 and 40785. First we will calculate the prime factors of 40773 and 40785.

Prime Factorization of 40773

Prime factors of 40773 are 3, 13591. Prime factorization of 40773 in exponential form is:

40773 = 31 × 135911

Prime Factorization of 40785

Prime factors of 40785 are 3, 5, 2719. Prime factorization of 40785 in exponential form is:

40785 = 31 × 51 × 27191

Now multiplying the highest exponent prime factors to calculate the LCM of 40773 and 40785.

LCM(40773,40785) = 31 × 135911 × 51 × 27191
LCM(40773,40785) = 554308935