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What is the Least Common Multiple of 40483 and 40491?

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 40483 and 40491 is 1639197153.

LCM(40483,40491) = 1639197153

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Least Common Multiple of 40483 and 40491 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40483 and 40491, than apply into the LCM equation.

GCF(40483,40491) = 1
LCM(40483,40491) = ( 40483 × 40491) / 1
LCM(40483,40491) = 1639197153 / 1
LCM(40483,40491) = 1639197153

Least Common Multiple (LCM) of 40483 and 40491 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40483 and 40491. First we will calculate the prime factors of 40483 and 40491.

Prime Factorization of 40483

Prime factors of 40483 are 40483. Prime factorization of 40483 in exponential form is:

40483 = 404831

Prime Factorization of 40491

Prime factors of 40491 are 3, 11, 409. Prime factorization of 40491 in exponential form is:

40491 = 32 × 111 × 4091

Now multiplying the highest exponent prime factors to calculate the LCM of 40483 and 40491.

LCM(40483,40491) = 404831 × 32 × 111 × 4091
LCM(40483,40491) = 1639197153