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What is the Least Common Multiple of 9358 and 9362?

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 9358 and 9362 is 43804798.

LCM(9358,9362) = 43804798

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Least Common Multiple of 9358 and 9362 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9358 and 9362, than apply into the LCM equation.

GCF(9358,9362) = 2
LCM(9358,9362) = ( 9358 × 9362) / 2
LCM(9358,9362) = 87609596 / 2
LCM(9358,9362) = 43804798

Least Common Multiple (LCM) of 9358 and 9362 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9358 and 9362. First we will calculate the prime factors of 9358 and 9362.

Prime Factorization of 9358

Prime factors of 9358 are 2, 4679. Prime factorization of 9358 in exponential form is:

9358 = 21 × 46791

Prime Factorization of 9362

Prime factors of 9362 are 2, 31, 151. Prime factorization of 9362 in exponential form is:

9362 = 21 × 311 × 1511

Now multiplying the highest exponent prime factors to calculate the LCM of 9358 and 9362.

LCM(9358,9362) = 21 × 46791 × 311 × 1511
LCM(9358,9362) = 43804798