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What is the Least Common Multiple of 91349 and 91361?

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 91349 and 91361 is 8345735989.

LCM(91349,91361) = 8345735989

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Least Common Multiple of 91349 and 91361 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91349 and 91361, than apply into the LCM equation.

GCF(91349,91361) = 1
LCM(91349,91361) = ( 91349 × 91361) / 1
LCM(91349,91361) = 8345735989 / 1
LCM(91349,91361) = 8345735989

Least Common Multiple (LCM) of 91349 and 91361 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91349 and 91361. First we will calculate the prime factors of 91349 and 91361.

Prime Factorization of 91349

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

91349 = 1671 × 5471

Prime Factorization of 91361

Prime factors of 91361 are 103, 887. Prime factorization of 91361 in exponential form is:

91361 = 1031 × 8871

Now multiplying the highest exponent prime factors to calculate the LCM of 91349 and 91361.

LCM(91349,91361) = 1671 × 5471 × 1031 × 8871
LCM(91349,91361) = 8345735989