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What is the Least Common Multiple of 9418 and 9438?

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 9418 and 9438 is 44443542.

LCM(9418,9438) = 44443542

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Least Common Multiple of 9418 and 9438 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9418 and 9438, than apply into the LCM equation.

GCF(9418,9438) = 2
LCM(9418,9438) = ( 9418 × 9438) / 2
LCM(9418,9438) = 88887084 / 2
LCM(9418,9438) = 44443542

Least Common Multiple (LCM) of 9418 and 9438 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9418 and 9438. First we will calculate the prime factors of 9418 and 9438.

Prime Factorization of 9418

Prime factors of 9418 are 2, 17, 277. Prime factorization of 9418 in exponential form is:

9418 = 21 × 171 × 2771

Prime Factorization of 9438

Prime factors of 9438 are 2, 3, 11, 13. Prime factorization of 9438 in exponential form is:

9438 = 21 × 31 × 112 × 131

Now multiplying the highest exponent prime factors to calculate the LCM of 9418 and 9438.

LCM(9418,9438) = 21 × 171 × 2771 × 31 × 112 × 131
LCM(9418,9438) = 44443542