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What is the Least Common Multiple of 54429 and 54449?

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 54429 and 54449 is 2963604621.

LCM(54429,54449) = 2963604621

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Least Common Multiple of 54429 and 54449 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54429 and 54449, than apply into the LCM equation.

GCF(54429,54449) = 1
LCM(54429,54449) = ( 54429 × 54449) / 1
LCM(54429,54449) = 2963604621 / 1
LCM(54429,54449) = 2963604621

Least Common Multiple (LCM) of 54429 and 54449 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54429 and 54449. First we will calculate the prime factors of 54429 and 54449.

Prime Factorization of 54429

Prime factors of 54429 are 3, 18143. Prime factorization of 54429 in exponential form is:

54429 = 31 × 181431

Prime Factorization of 54449

Prime factors of 54449 are 54449. Prime factorization of 54449 in exponential form is:

54449 = 544491

Now multiplying the highest exponent prime factors to calculate the LCM of 54429 and 54449.

LCM(54429,54449) = 31 × 181431 × 544491
LCM(54429,54449) = 2963604621