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What is the Least Common Multiple of 55543 and 55548?

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 55543 and 55548 is 3085302564.

LCM(55543,55548) = 3085302564

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Least Common Multiple of 55543 and 55548 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55543 and 55548, than apply into the LCM equation.

GCF(55543,55548) = 1
LCM(55543,55548) = ( 55543 × 55548) / 1
LCM(55543,55548) = 3085302564 / 1
LCM(55543,55548) = 3085302564

Least Common Multiple (LCM) of 55543 and 55548 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55543 and 55548. First we will calculate the prime factors of 55543 and 55548.

Prime Factorization of 55543

Prime factors of 55543 are 67, 829. Prime factorization of 55543 in exponential form is:

55543 = 671 × 8291

Prime Factorization of 55548

Prime factors of 55548 are 2, 3, 1543. Prime factorization of 55548 in exponential form is:

55548 = 22 × 32 × 15431

Now multiplying the highest exponent prime factors to calculate the LCM of 55543 and 55548.

LCM(55543,55548) = 671 × 8291 × 22 × 32 × 15431
LCM(55543,55548) = 3085302564