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What is the Least Common Multiple of 9430 and 9435?

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 9430 and 9435 is 17794410.

LCM(9430,9435) = 17794410

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Least Common Multiple of 9430 and 9435 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9430 and 9435, than apply into the LCM equation.

GCF(9430,9435) = 5
LCM(9430,9435) = ( 9430 × 9435) / 5
LCM(9430,9435) = 88972050 / 5
LCM(9430,9435) = 17794410

Least Common Multiple (LCM) of 9430 and 9435 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9430 and 9435. First we will calculate the prime factors of 9430 and 9435.

Prime Factorization of 9430

Prime factors of 9430 are 2, 5, 23, 41. Prime factorization of 9430 in exponential form is:

9430 = 21 × 51 × 231 × 411

Prime Factorization of 9435

Prime factors of 9435 are 3, 5, 17, 37. Prime factorization of 9435 in exponential form is:

9435 = 31 × 51 × 171 × 371

Now multiplying the highest exponent prime factors to calculate the LCM of 9430 and 9435.

LCM(9430,9435) = 21 × 51 × 231 × 411 × 31 × 171 × 371
LCM(9430,9435) = 17794410