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What is the Least Common Multiple of 90917 and 90926?

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 90917 and 90926 is 8266719142.

LCM(90917,90926) = 8266719142

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Least Common Multiple of 90917 and 90926 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90917 and 90926, than apply into the LCM equation.

GCF(90917,90926) = 1
LCM(90917,90926) = ( 90917 × 90926) / 1
LCM(90917,90926) = 8266719142 / 1
LCM(90917,90926) = 8266719142

Least Common Multiple (LCM) of 90917 and 90926 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90917 and 90926. First we will calculate the prime factors of 90917 and 90926.

Prime Factorization of 90917

Prime factors of 90917 are 90917. Prime factorization of 90917 in exponential form is:

90917 = 909171

Prime Factorization of 90926

Prime factors of 90926 are 2, 11, 4133. Prime factorization of 90926 in exponential form is:

90926 = 21 × 111 × 41331

Now multiplying the highest exponent prime factors to calculate the LCM of 90917 and 90926.

LCM(90917,90926) = 909171 × 21 × 111 × 41331
LCM(90917,90926) = 8266719142