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What is the Least Common Multiple of 54440 and 54447?

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 54440 and 54447 is 2964094680.

LCM(54440,54447) = 2964094680

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Least Common Multiple of 54440 and 54447 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54440 and 54447, than apply into the LCM equation.

GCF(54440,54447) = 1
LCM(54440,54447) = ( 54440 × 54447) / 1
LCM(54440,54447) = 2964094680 / 1
LCM(54440,54447) = 2964094680

Least Common Multiple (LCM) of 54440 and 54447 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54440 and 54447. First we will calculate the prime factors of 54440 and 54447.

Prime Factorization of 54440

Prime factors of 54440 are 2, 5, 1361. Prime factorization of 54440 in exponential form is:

54440 = 23 × 51 × 13611

Prime Factorization of 54447

Prime factors of 54447 are 3, 18149. Prime factorization of 54447 in exponential form is:

54447 = 31 × 181491

Now multiplying the highest exponent prime factors to calculate the LCM of 54440 and 54447.

LCM(54440,54447) = 23 × 51 × 13611 × 31 × 181491
LCM(54440,54447) = 2964094680