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What is the Least Common Multiple of 9341 and 9355?

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 9341 and 9355 is 87385055.

LCM(9341,9355) = 87385055

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Least Common Multiple of 9341 and 9355 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9341 and 9355, than apply into the LCM equation.

GCF(9341,9355) = 1
LCM(9341,9355) = ( 9341 × 9355) / 1
LCM(9341,9355) = 87385055 / 1
LCM(9341,9355) = 87385055

Least Common Multiple (LCM) of 9341 and 9355 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9341 and 9355. First we will calculate the prime factors of 9341 and 9355.

Prime Factorization of 9341

Prime factors of 9341 are 9341. Prime factorization of 9341 in exponential form is:

9341 = 93411

Prime Factorization of 9355

Prime factors of 9355 are 5, 1871. Prime factorization of 9355 in exponential form is:

9355 = 51 × 18711

Now multiplying the highest exponent prime factors to calculate the LCM of 9341 and 9355.

LCM(9341,9355) = 93411 × 51 × 18711
LCM(9341,9355) = 87385055