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What is the Least Common Multiple of 90833 and 90847?

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 90833 and 90847 is 8251905551.

LCM(90833,90847) = 8251905551

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Least Common Multiple of 90833 and 90847 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90833 and 90847, than apply into the LCM equation.

GCF(90833,90847) = 1
LCM(90833,90847) = ( 90833 × 90847) / 1
LCM(90833,90847) = 8251905551 / 1
LCM(90833,90847) = 8251905551

Least Common Multiple (LCM) of 90833 and 90847 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90833 and 90847. First we will calculate the prime factors of 90833 and 90847.

Prime Factorization of 90833

Prime factors of 90833 are 90833. Prime factorization of 90833 in exponential form is:

90833 = 908331

Prime Factorization of 90847

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

90847 = 908471

Now multiplying the highest exponent prime factors to calculate the LCM of 90833 and 90847.

LCM(90833,90847) = 908331 × 908471
LCM(90833,90847) = 8251905551