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What is the Least Common Multiple of 91381 and 91396?

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 91381 and 91396 is 8351857876.

LCM(91381,91396) = 8351857876

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Least Common Multiple of 91381 and 91396 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91381 and 91396, than apply into the LCM equation.

GCF(91381,91396) = 1
LCM(91381,91396) = ( 91381 × 91396) / 1
LCM(91381,91396) = 8351857876 / 1
LCM(91381,91396) = 8351857876

Least Common Multiple (LCM) of 91381 and 91396 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91381 and 91396. First we will calculate the prime factors of 91381 and 91396.

Prime Factorization of 91381

Prime factors of 91381 are 91381. Prime factorization of 91381 in exponential form is:

91381 = 913811

Prime Factorization of 91396

Prime factors of 91396 are 2, 73, 313. Prime factorization of 91396 in exponential form is:

91396 = 22 × 731 × 3131

Now multiplying the highest exponent prime factors to calculate the LCM of 91381 and 91396.

LCM(91381,91396) = 913811 × 22 × 731 × 3131
LCM(91381,91396) = 8351857876