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What is the Least Common Multiple of 54404 and 54413?

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 54404 and 54413 is 2960284852.

LCM(54404,54413) = 2960284852

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Least Common Multiple of 54404 and 54413 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54404 and 54413, than apply into the LCM equation.

GCF(54404,54413) = 1
LCM(54404,54413) = ( 54404 × 54413) / 1
LCM(54404,54413) = 2960284852 / 1
LCM(54404,54413) = 2960284852

Least Common Multiple (LCM) of 54404 and 54413 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54404 and 54413. First we will calculate the prime factors of 54404 and 54413.

Prime Factorization of 54404

Prime factors of 54404 are 2, 7, 29, 67. Prime factorization of 54404 in exponential form is:

54404 = 22 × 71 × 291 × 671

Prime Factorization of 54413

Prime factors of 54413 are 54413. Prime factorization of 54413 in exponential form is:

54413 = 544131

Now multiplying the highest exponent prime factors to calculate the LCM of 54404 and 54413.

LCM(54404,54413) = 22 × 71 × 291 × 671 × 544131
LCM(54404,54413) = 2960284852