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What is the Least Common Multiple of 9181 and 9196?

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 9181 and 9196 is 84428476.

LCM(9181,9196) = 84428476

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Least Common Multiple of 9181 and 9196 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9181 and 9196, than apply into the LCM equation.

GCF(9181,9196) = 1
LCM(9181,9196) = ( 9181 × 9196) / 1
LCM(9181,9196) = 84428476 / 1
LCM(9181,9196) = 84428476

Least Common Multiple (LCM) of 9181 and 9196 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9181 and 9196. First we will calculate the prime factors of 9181 and 9196.

Prime Factorization of 9181

Prime factors of 9181 are 9181. Prime factorization of 9181 in exponential form is:

9181 = 91811

Prime Factorization of 9196

Prime factors of 9196 are 2, 11, 19. Prime factorization of 9196 in exponential form is:

9196 = 22 × 112 × 191

Now multiplying the highest exponent prime factors to calculate the LCM of 9181 and 9196.

LCM(9181,9196) = 91811 × 22 × 112 × 191
LCM(9181,9196) = 84428476