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What is the Least Common Multiple of 40502 and 40511?

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 40502 and 40511 is 1640776522.

LCM(40502,40511) = 1640776522

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Least Common Multiple of 40502 and 40511 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40502 and 40511, than apply into the LCM equation.

GCF(40502,40511) = 1
LCM(40502,40511) = ( 40502 × 40511) / 1
LCM(40502,40511) = 1640776522 / 1
LCM(40502,40511) = 1640776522

Least Common Multiple (LCM) of 40502 and 40511 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40502 and 40511. First we will calculate the prime factors of 40502 and 40511.

Prime Factorization of 40502

Prime factors of 40502 are 2, 7, 11, 263. Prime factorization of 40502 in exponential form is:

40502 = 21 × 71 × 111 × 2631

Prime Factorization of 40511

Prime factors of 40511 are 17, 2383. Prime factorization of 40511 in exponential form is:

40511 = 171 × 23831

Now multiplying the highest exponent prime factors to calculate the LCM of 40502 and 40511.

LCM(40502,40511) = 21 × 71 × 111 × 2631 × 171 × 23831
LCM(40502,40511) = 1640776522