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What is the Least Common Multiple of 43411 and 43424?

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 43411 and 43424 is 1885079264.

LCM(43411,43424) = 1885079264

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Least Common Multiple of 43411 and 43424 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43411 and 43424, than apply into the LCM equation.

GCF(43411,43424) = 1
LCM(43411,43424) = ( 43411 × 43424) / 1
LCM(43411,43424) = 1885079264 / 1
LCM(43411,43424) = 1885079264

Least Common Multiple (LCM) of 43411 and 43424 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43411 and 43424. First we will calculate the prime factors of 43411 and 43424.

Prime Factorization of 43411

Prime factors of 43411 are 43411. Prime factorization of 43411 in exponential form is:

43411 = 434111

Prime Factorization of 43424

Prime factors of 43424 are 2, 23, 59. Prime factorization of 43424 in exponential form is:

43424 = 25 × 231 × 591

Now multiplying the highest exponent prime factors to calculate the LCM of 43411 and 43424.

LCM(43411,43424) = 434111 × 25 × 231 × 591
LCM(43411,43424) = 1885079264