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What is the Least Common Multiple of 9428 and 9446?

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 9428 and 9446 is 44528444.

LCM(9428,9446) = 44528444

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Least Common Multiple of 9428 and 9446 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9428 and 9446, than apply into the LCM equation.

GCF(9428,9446) = 2
LCM(9428,9446) = ( 9428 × 9446) / 2
LCM(9428,9446) = 89056888 / 2
LCM(9428,9446) = 44528444

Least Common Multiple (LCM) of 9428 and 9446 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9428 and 9446. First we will calculate the prime factors of 9428 and 9446.

Prime Factorization of 9428

Prime factors of 9428 are 2, 2357. Prime factorization of 9428 in exponential form is:

9428 = 22 × 23571

Prime Factorization of 9446

Prime factors of 9446 are 2, 4723. Prime factorization of 9446 in exponential form is:

9446 = 21 × 47231

Now multiplying the highest exponent prime factors to calculate the LCM of 9428 and 9446.

LCM(9428,9446) = 22 × 23571 × 47231
LCM(9428,9446) = 44528444