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What is the Least Common Multiple of 59441 and 59447?

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 59441 and 59447 is 3533589127.

LCM(59441,59447) = 3533589127

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Least Common Multiple of 59441 and 59447 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59441 and 59447, than apply into the LCM equation.

GCF(59441,59447) = 1
LCM(59441,59447) = ( 59441 × 59447) / 1
LCM(59441,59447) = 3533589127 / 1
LCM(59441,59447) = 3533589127

Least Common Multiple (LCM) of 59441 and 59447 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59441 and 59447. First we will calculate the prime factors of 59441 and 59447.

Prime Factorization of 59441

Prime factors of 59441 are 59441. Prime factorization of 59441 in exponential form is:

59441 = 594411

Prime Factorization of 59447

Prime factors of 59447 are 59447. Prime factorization of 59447 in exponential form is:

59447 = 594471

Now multiplying the highest exponent prime factors to calculate the LCM of 59441 and 59447.

LCM(59441,59447) = 594411 × 594471
LCM(59441,59447) = 3533589127