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What is the Least Common Multiple of 9390 and 9407?

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 9390 and 9407 is 88331730.

LCM(9390,9407) = 88331730

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Least Common Multiple of 9390 and 9407 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9390 and 9407, than apply into the LCM equation.

GCF(9390,9407) = 1
LCM(9390,9407) = ( 9390 × 9407) / 1
LCM(9390,9407) = 88331730 / 1
LCM(9390,9407) = 88331730

Least Common Multiple (LCM) of 9390 and 9407 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9390 and 9407. First we will calculate the prime factors of 9390 and 9407.

Prime Factorization of 9390

Prime factors of 9390 are 2, 3, 5, 313. Prime factorization of 9390 in exponential form is:

9390 = 21 × 31 × 51 × 3131

Prime Factorization of 9407

Prime factors of 9407 are 23, 409. Prime factorization of 9407 in exponential form is:

9407 = 231 × 4091

Now multiplying the highest exponent prime factors to calculate the LCM of 9390 and 9407.

LCM(9390,9407) = 21 × 31 × 51 × 3131 × 231 × 4091
LCM(9390,9407) = 88331730