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What is the Least Common Multiple of 55869 and 55882?

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 55869 and 55882 is 3122071458.

LCM(55869,55882) = 3122071458

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Least Common Multiple of 55869 and 55882 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55869 and 55882, than apply into the LCM equation.

GCF(55869,55882) = 1
LCM(55869,55882) = ( 55869 × 55882) / 1
LCM(55869,55882) = 3122071458 / 1
LCM(55869,55882) = 3122071458

Least Common Multiple (LCM) of 55869 and 55882 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55869 and 55882. First we will calculate the prime factors of 55869 and 55882.

Prime Factorization of 55869

Prime factors of 55869 are 3, 11, 1693. Prime factorization of 55869 in exponential form is:

55869 = 31 × 111 × 16931

Prime Factorization of 55882

Prime factors of 55882 are 2, 27941. Prime factorization of 55882 in exponential form is:

55882 = 21 × 279411

Now multiplying the highest exponent prime factors to calculate the LCM of 55869 and 55882.

LCM(55869,55882) = 31 × 111 × 16931 × 21 × 279411
LCM(55869,55882) = 3122071458