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What is the Least Common Multiple of 40773 and 40783?

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 40783 is 1662845259.

LCM(40773,40783) = 1662845259

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Least Common Multiple of 40773 and 40783 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 40783, than apply into the LCM equation.

GCF(40773,40783) = 1
LCM(40773,40783) = ( 40773 × 40783) / 1
LCM(40773,40783) = 1662845259 / 1
LCM(40773,40783) = 1662845259

Least Common Multiple (LCM) of 40773 and 40783 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40773 and 40783. First we will calculate the prime factors of 40773 and 40783.

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 40783

Prime factors of 40783 are 17, 2399. Prime factorization of 40783 in exponential form is:

40783 = 171 × 23991

Now multiplying the highest exponent prime factors to calculate the LCM of 40773 and 40783.

LCM(40773,40783) = 31 × 135911 × 171 × 23991
LCM(40773,40783) = 1662845259