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What is the Least Common Multiple of 90847 and 90865?

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 90847 and 90865 is 8254812655.

LCM(90847,90865) = 8254812655

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Least Common Multiple of 90847 and 90865 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90847 and 90865, than apply into the LCM equation.

GCF(90847,90865) = 1
LCM(90847,90865) = ( 90847 × 90865) / 1
LCM(90847,90865) = 8254812655 / 1
LCM(90847,90865) = 8254812655

Least Common Multiple (LCM) of 90847 and 90865 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90847 and 90865. First we will calculate the prime factors of 90847 and 90865.

Prime Factorization of 90847

Prime factors of 90847 are 90847. Prime factorization of 90847 in exponential form is:

90847 = 908471

Prime Factorization of 90865

Prime factors of 90865 are 5, 17, 1069. Prime factorization of 90865 in exponential form is:

90865 = 51 × 171 × 10691

Now multiplying the highest exponent prime factors to calculate the LCM of 90847 and 90865.

LCM(90847,90865) = 908471 × 51 × 171 × 10691
LCM(90847,90865) = 8254812655