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What is the Least Common Multiple of 90927 and 90931?

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 90927 and 90931 is 8268083037.

LCM(90927,90931) = 8268083037

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Least Common Multiple of 90927 and 90931 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90927 and 90931, than apply into the LCM equation.

GCF(90927,90931) = 1
LCM(90927,90931) = ( 90927 × 90931) / 1
LCM(90927,90931) = 8268083037 / 1
LCM(90927,90931) = 8268083037

Least Common Multiple (LCM) of 90927 and 90931 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90927 and 90931. First we will calculate the prime factors of 90927 and 90931.

Prime Factorization of 90927

Prime factors of 90927 are 3, 10103. Prime factorization of 90927 in exponential form is:

90927 = 32 × 101031

Prime Factorization of 90931

Prime factors of 90931 are 90931. Prime factorization of 90931 in exponential form is:

90931 = 909311

Now multiplying the highest exponent prime factors to calculate the LCM of 90927 and 90931.

LCM(90927,90931) = 32 × 101031 × 909311
LCM(90927,90931) = 8268083037