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What is the Least Common Multiple of 9423 and 9440?

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 9423 and 9440 is 88953120.

LCM(9423,9440) = 88953120

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Least Common Multiple of 9423 and 9440 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9423 and 9440, than apply into the LCM equation.

GCF(9423,9440) = 1
LCM(9423,9440) = ( 9423 × 9440) / 1
LCM(9423,9440) = 88953120 / 1
LCM(9423,9440) = 88953120

Least Common Multiple (LCM) of 9423 and 9440 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9423 and 9440. First we will calculate the prime factors of 9423 and 9440.

Prime Factorization of 9423

Prime factors of 9423 are 3, 349. Prime factorization of 9423 in exponential form is:

9423 = 33 × 3491

Prime Factorization of 9440

Prime factors of 9440 are 2, 5, 59. Prime factorization of 9440 in exponential form is:

9440 = 25 × 51 × 591

Now multiplying the highest exponent prime factors to calculate the LCM of 9423 and 9440.

LCM(9423,9440) = 33 × 3491 × 25 × 51 × 591
LCM(9423,9440) = 88953120