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What is the Least Common Multiple of 91391 and 91403?

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 91391 and 91403 is 8353411573.

LCM(91391,91403) = 8353411573

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Least Common Multiple of 91391 and 91403 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91391 and 91403, than apply into the LCM equation.

GCF(91391,91403) = 1
LCM(91391,91403) = ( 91391 × 91403) / 1
LCM(91391,91403) = 8353411573 / 1
LCM(91391,91403) = 8353411573

Least Common Multiple (LCM) of 91391 and 91403 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91391 and 91403. First we will calculate the prime factors of 91391 and 91403.

Prime Factorization of 91391

Prime factors of 91391 are 59, 1549. Prime factorization of 91391 in exponential form is:

91391 = 591 × 15491

Prime Factorization of 91403

Prime factors of 91403 are 13, 79, 89. Prime factorization of 91403 in exponential form is:

91403 = 131 × 791 × 891

Now multiplying the highest exponent prime factors to calculate the LCM of 91391 and 91403.

LCM(91391,91403) = 591 × 15491 × 131 × 791 × 891
LCM(91391,91403) = 8353411573