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What is the Least Common Multiple of 90803 and 90823?

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 90803 and 90823 is 8247000869.

LCM(90803,90823) = 8247000869

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Least Common Multiple of 90803 and 90823 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90803 and 90823, than apply into the LCM equation.

GCF(90803,90823) = 1
LCM(90803,90823) = ( 90803 × 90823) / 1
LCM(90803,90823) = 8247000869 / 1
LCM(90803,90823) = 8247000869

Least Common Multiple (LCM) of 90803 and 90823 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90803 and 90823. First we will calculate the prime factors of 90803 and 90823.

Prime Factorization of 90803

Prime factors of 90803 are 90803. Prime factorization of 90803 in exponential form is:

90803 = 908031

Prime Factorization of 90823

Prime factors of 90823 are 90823. Prime factorization of 90823 in exponential form is:

90823 = 908231

Now multiplying the highest exponent prime factors to calculate the LCM of 90803 and 90823.

LCM(90803,90823) = 908031 × 908231
LCM(90803,90823) = 8247000869