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What is the Least Common Multiple of 9352 and 9363?

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 9352 and 9363 is 87562776.

LCM(9352,9363) = 87562776

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Least Common Multiple of 9352 and 9363 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9352 and 9363, than apply into the LCM equation.

GCF(9352,9363) = 1
LCM(9352,9363) = ( 9352 × 9363) / 1
LCM(9352,9363) = 87562776 / 1
LCM(9352,9363) = 87562776

Least Common Multiple (LCM) of 9352 and 9363 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9352 and 9363. First we will calculate the prime factors of 9352 and 9363.

Prime Factorization of 9352

Prime factors of 9352 are 2, 7, 167. Prime factorization of 9352 in exponential form is:

9352 = 23 × 71 × 1671

Prime Factorization of 9363

Prime factors of 9363 are 3, 3121. Prime factorization of 9363 in exponential form is:

9363 = 31 × 31211

Now multiplying the highest exponent prime factors to calculate the LCM of 9352 and 9363.

LCM(9352,9363) = 23 × 71 × 1671 × 31 × 31211
LCM(9352,9363) = 87562776