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What is the Least Common Multiple of 91342 and 91349?

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 91342 and 91349 is 8344000358.

LCM(91342,91349) = 8344000358

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Least Common Multiple of 91342 and 91349 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91342 and 91349, than apply into the LCM equation.

GCF(91342,91349) = 1
LCM(91342,91349) = ( 91342 × 91349) / 1
LCM(91342,91349) = 8344000358 / 1
LCM(91342,91349) = 8344000358

Least Common Multiple (LCM) of 91342 and 91349 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91342 and 91349. First we will calculate the prime factors of 91342 and 91349.

Prime Factorization of 91342

Prime factors of 91342 are 2, 109, 419. Prime factorization of 91342 in exponential form is:

91342 = 21 × 1091 × 4191

Prime Factorization of 91349

Prime factors of 91349 are 167, 547. Prime factorization of 91349 in exponential form is:

91349 = 1671 × 5471

Now multiplying the highest exponent prime factors to calculate the LCM of 91342 and 91349.

LCM(91342,91349) = 21 × 1091 × 4191 × 1671 × 5471
LCM(91342,91349) = 8344000358