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What is the Least Common Multiple of 40411 and 40424?

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 40411 and 40424 is 1633574264.

LCM(40411,40424) = 1633574264

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Least Common Multiple of 40411 and 40424 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40411 and 40424, than apply into the LCM equation.

GCF(40411,40424) = 1
LCM(40411,40424) = ( 40411 × 40424) / 1
LCM(40411,40424) = 1633574264 / 1
LCM(40411,40424) = 1633574264

Least Common Multiple (LCM) of 40411 and 40424 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40411 and 40424. First we will calculate the prime factors of 40411 and 40424.

Prime Factorization of 40411

Prime factors of 40411 are 7, 23, 251. Prime factorization of 40411 in exponential form is:

40411 = 71 × 231 × 2511

Prime Factorization of 40424

Prime factors of 40424 are 2, 31, 163. Prime factorization of 40424 in exponential form is:

40424 = 23 × 311 × 1631

Now multiplying the highest exponent prime factors to calculate the LCM of 40411 and 40424.

LCM(40411,40424) = 71 × 231 × 2511 × 23 × 311 × 1631
LCM(40411,40424) = 1633574264