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What is the Least Common Multiple of 54447 and 54455?

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 54447 and 54455 is 2964911385.

LCM(54447,54455) = 2964911385

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Least Common Multiple of 54447 and 54455 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54447 and 54455, than apply into the LCM equation.

GCF(54447,54455) = 1
LCM(54447,54455) = ( 54447 × 54455) / 1
LCM(54447,54455) = 2964911385 / 1
LCM(54447,54455) = 2964911385

Least Common Multiple (LCM) of 54447 and 54455 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54447 and 54455. First we will calculate the prime factors of 54447 and 54455.

Prime Factorization of 54447

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

54447 = 31 × 181491

Prime Factorization of 54455

Prime factors of 54455 are 5, 10891. Prime factorization of 54455 in exponential form is:

54455 = 51 × 108911

Now multiplying the highest exponent prime factors to calculate the LCM of 54447 and 54455.

LCM(54447,54455) = 31 × 181491 × 51 × 108911
LCM(54447,54455) = 2964911385