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What is the Least Common Multiple of 91399 and 91413?

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 91399 and 91413 is 1193579541.

LCM(91399,91413) = 1193579541

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Least Common Multiple of 91399 and 91413 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91399 and 91413, than apply into the LCM equation.

GCF(91399,91413) = 7
LCM(91399,91413) = ( 91399 × 91413) / 7
LCM(91399,91413) = 8355056787 / 7
LCM(91399,91413) = 1193579541

Least Common Multiple (LCM) of 91399 and 91413 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91399 and 91413. First we will calculate the prime factors of 91399 and 91413.

Prime Factorization of 91399

Prime factors of 91399 are 7, 11, 1187. Prime factorization of 91399 in exponential form is:

91399 = 71 × 111 × 11871

Prime Factorization of 91413

Prime factors of 91413 are 3, 7, 1451. Prime factorization of 91413 in exponential form is:

91413 = 32 × 71 × 14511

Now multiplying the highest exponent prime factors to calculate the LCM of 91399 and 91413.

LCM(91399,91413) = 71 × 111 × 11871 × 32 × 14511
LCM(91399,91413) = 1193579541