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What is the Least Common Multiple of 54987 and 55000?

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 54987 and 55000 is 3024285000.

LCM(54987,55000) = 3024285000

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Least Common Multiple of 54987 and 55000 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54987 and 55000, than apply into the LCM equation.

GCF(54987,55000) = 1
LCM(54987,55000) = ( 54987 × 55000) / 1
LCM(54987,55000) = 3024285000 / 1
LCM(54987,55000) = 3024285000

Least Common Multiple (LCM) of 54987 and 55000 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54987 and 55000. First we will calculate the prime factors of 54987 and 55000.

Prime Factorization of 54987

Prime factors of 54987 are 3, 18329. Prime factorization of 54987 in exponential form is:

54987 = 31 × 183291

Prime Factorization of 55000

Prime factors of 55000 are 2, 5, 11. Prime factorization of 55000 in exponential form is:

55000 = 23 × 54 × 111

Now multiplying the highest exponent prime factors to calculate the LCM of 54987 and 55000.

LCM(54987,55000) = 31 × 183291 × 23 × 54 × 111
LCM(54987,55000) = 3024285000