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What is the Least Common Multiple of 9365 and 9382?

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 9365 and 9382 is 87862430.

LCM(9365,9382) = 87862430

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Least Common Multiple of 9365 and 9382 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9365 and 9382, than apply into the LCM equation.

GCF(9365,9382) = 1
LCM(9365,9382) = ( 9365 × 9382) / 1
LCM(9365,9382) = 87862430 / 1
LCM(9365,9382) = 87862430

Least Common Multiple (LCM) of 9365 and 9382 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9365 and 9382. First we will calculate the prime factors of 9365 and 9382.

Prime Factorization of 9365

Prime factors of 9365 are 5, 1873. Prime factorization of 9365 in exponential form is:

9365 = 51 × 18731

Prime Factorization of 9382

Prime factors of 9382 are 2, 4691. Prime factorization of 9382 in exponential form is:

9382 = 21 × 46911

Now multiplying the highest exponent prime factors to calculate the LCM of 9365 and 9382.

LCM(9365,9382) = 51 × 18731 × 21 × 46911
LCM(9365,9382) = 87862430