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What is the Least Common Multiple of 9444 and 9454?

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 9444 and 9454 is 44641788.

LCM(9444,9454) = 44641788

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Least Common Multiple of 9444 and 9454 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9444 and 9454, than apply into the LCM equation.

GCF(9444,9454) = 2
LCM(9444,9454) = ( 9444 × 9454) / 2
LCM(9444,9454) = 89283576 / 2
LCM(9444,9454) = 44641788

Least Common Multiple (LCM) of 9444 and 9454 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9444 and 9454. First we will calculate the prime factors of 9444 and 9454.

Prime Factorization of 9444

Prime factors of 9444 are 2, 3, 787. Prime factorization of 9444 in exponential form is:

9444 = 22 × 31 × 7871

Prime Factorization of 9454

Prime factors of 9454 are 2, 29, 163. Prime factorization of 9454 in exponential form is:

9454 = 21 × 291 × 1631

Now multiplying the highest exponent prime factors to calculate the LCM of 9444 and 9454.

LCM(9444,9454) = 22 × 31 × 7871 × 291 × 1631
LCM(9444,9454) = 44641788