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What is the Least Common Multiple of 54385 and 54401?

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 54385 and 54401 is 2958598385.

LCM(54385,54401) = 2958598385

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Least Common Multiple of 54385 and 54401 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54385 and 54401, than apply into the LCM equation.

GCF(54385,54401) = 1
LCM(54385,54401) = ( 54385 × 54401) / 1
LCM(54385,54401) = 2958598385 / 1
LCM(54385,54401) = 2958598385

Least Common Multiple (LCM) of 54385 and 54401 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54385 and 54401. First we will calculate the prime factors of 54385 and 54401.

Prime Factorization of 54385

Prime factors of 54385 are 5, 73, 149. Prime factorization of 54385 in exponential form is:

54385 = 51 × 731 × 1491

Prime Factorization of 54401

Prime factors of 54401 are 54401. Prime factorization of 54401 in exponential form is:

54401 = 544011

Now multiplying the highest exponent prime factors to calculate the LCM of 54385 and 54401.

LCM(54385,54401) = 51 × 731 × 1491 × 544011
LCM(54385,54401) = 2958598385