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What is the Least Common Multiple of 90073 and 90081?

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 90073 and 90081 is 8113865913.

LCM(90073,90081) = 8113865913

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Least Common Multiple of 90073 and 90081 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90073 and 90081, than apply into the LCM equation.

GCF(90073,90081) = 1
LCM(90073,90081) = ( 90073 × 90081) / 1
LCM(90073,90081) = 8113865913 / 1
LCM(90073,90081) = 8113865913

Least Common Multiple (LCM) of 90073 and 90081 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90073 and 90081. First we will calculate the prime factors of 90073 and 90081.

Prime Factorization of 90073

Prime factors of 90073 are 90073. Prime factorization of 90073 in exponential form is:

90073 = 900731

Prime Factorization of 90081

Prime factors of 90081 are 3, 10009. Prime factorization of 90081 in exponential form is:

90081 = 32 × 100091

Now multiplying the highest exponent prime factors to calculate the LCM of 90073 and 90081.

LCM(90073,90081) = 900731 × 32 × 100091
LCM(90073,90081) = 8113865913