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What is the Least Common Multiple of 91917 and 91926?

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 91917 and 91926 is 938840238.

LCM(91917,91926) = 938840238

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Least Common Multiple of 91917 and 91926 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91917 and 91926, than apply into the LCM equation.

GCF(91917,91926) = 9
LCM(91917,91926) = ( 91917 × 91926) / 9
LCM(91917,91926) = 8449562142 / 9
LCM(91917,91926) = 938840238

Least Common Multiple (LCM) of 91917 and 91926 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91917 and 91926. First we will calculate the prime factors of 91917 and 91926.

Prime Factorization of 91917

Prime factors of 91917 are 3, 7, 1459. Prime factorization of 91917 in exponential form is:

91917 = 32 × 71 × 14591

Prime Factorization of 91926

Prime factors of 91926 are 2, 3, 5107. Prime factorization of 91926 in exponential form is:

91926 = 21 × 32 × 51071

Now multiplying the highest exponent prime factors to calculate the LCM of 91917 and 91926.

LCM(91917,91926) = 32 × 71 × 14591 × 21 × 51071
LCM(91917,91926) = 938840238