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What is the Least Common Multiple of 54879 and 54896?

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 54879 and 54896 is 3012637584.

LCM(54879,54896) = 3012637584

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Least Common Multiple of 54879 and 54896 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54879 and 54896, than apply into the LCM equation.

GCF(54879,54896) = 1
LCM(54879,54896) = ( 54879 × 54896) / 1
LCM(54879,54896) = 3012637584 / 1
LCM(54879,54896) = 3012637584

Least Common Multiple (LCM) of 54879 and 54896 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54879 and 54896. First we will calculate the prime factors of 54879 and 54896.

Prime Factorization of 54879

Prime factors of 54879 are 3, 11, 1663. Prime factorization of 54879 in exponential form is:

54879 = 31 × 111 × 16631

Prime Factorization of 54896

Prime factors of 54896 are 2, 47, 73. Prime factorization of 54896 in exponential form is:

54896 = 24 × 471 × 731

Now multiplying the highest exponent prime factors to calculate the LCM of 54879 and 54896.

LCM(54879,54896) = 31 × 111 × 16631 × 24 × 471 × 731
LCM(54879,54896) = 3012637584