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What is the Least Common Multiple of 41432 and 41443?

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 41432 and 41443 is 1717066376.

LCM(41432,41443) = 1717066376

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Least Common Multiple of 41432 and 41443 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41432 and 41443, than apply into the LCM equation.

GCF(41432,41443) = 1
LCM(41432,41443) = ( 41432 × 41443) / 1
LCM(41432,41443) = 1717066376 / 1
LCM(41432,41443) = 1717066376

Least Common Multiple (LCM) of 41432 and 41443 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41432 and 41443. First we will calculate the prime factors of 41432 and 41443.

Prime Factorization of 41432

Prime factors of 41432 are 2, 5179. Prime factorization of 41432 in exponential form is:

41432 = 23 × 51791

Prime Factorization of 41443

Prime factors of 41443 are 41443. Prime factorization of 41443 in exponential form is:

41443 = 414431

Now multiplying the highest exponent prime factors to calculate the LCM of 41432 and 41443.

LCM(41432,41443) = 23 × 51791 × 414431
LCM(41432,41443) = 1717066376