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What is the Least Common Multiple of 9380 and 9385?

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 9380 and 9385 is 17606260.

LCM(9380,9385) = 17606260

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Least Common Multiple of 9380 and 9385 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9380 and 9385, than apply into the LCM equation.

GCF(9380,9385) = 5
LCM(9380,9385) = ( 9380 × 9385) / 5
LCM(9380,9385) = 88031300 / 5
LCM(9380,9385) = 17606260

Least Common Multiple (LCM) of 9380 and 9385 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9380 and 9385. First we will calculate the prime factors of 9380 and 9385.

Prime Factorization of 9380

Prime factors of 9380 are 2, 5, 7, 67. Prime factorization of 9380 in exponential form is:

9380 = 22 × 51 × 71 × 671

Prime Factorization of 9385

Prime factors of 9385 are 5, 1877. Prime factorization of 9385 in exponential form is:

9385 = 51 × 18771

Now multiplying the highest exponent prime factors to calculate the LCM of 9380 and 9385.

LCM(9380,9385) = 22 × 51 × 71 × 671 × 18771
LCM(9380,9385) = 17606260