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What is the Least Common Multiple of 54576 and 54583?

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 54576 and 54583 is 2978921808.

LCM(54576,54583) = 2978921808

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Least Common Multiple of 54576 and 54583 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54576 and 54583, than apply into the LCM equation.

GCF(54576,54583) = 1
LCM(54576,54583) = ( 54576 × 54583) / 1
LCM(54576,54583) = 2978921808 / 1
LCM(54576,54583) = 2978921808

Least Common Multiple (LCM) of 54576 and 54583 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54576 and 54583. First we will calculate the prime factors of 54576 and 54583.

Prime Factorization of 54576

Prime factors of 54576 are 2, 3, 379. Prime factorization of 54576 in exponential form is:

54576 = 24 × 32 × 3791

Prime Factorization of 54583

Prime factors of 54583 are 54583. Prime factorization of 54583 in exponential form is:

54583 = 545831

Now multiplying the highest exponent prime factors to calculate the LCM of 54576 and 54583.

LCM(54576,54583) = 24 × 32 × 3791 × 545831
LCM(54576,54583) = 2978921808