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What is the Least Common Multiple of 5542 and 5548?

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 5542 and 5548 is 15373508.

LCM(5542,5548) = 15373508

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Least Common Multiple of 5542 and 5548 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5542 and 5548, than apply into the LCM equation.

GCF(5542,5548) = 2
LCM(5542,5548) = ( 5542 × 5548) / 2
LCM(5542,5548) = 30747016 / 2
LCM(5542,5548) = 15373508

Least Common Multiple (LCM) of 5542 and 5548 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5542 and 5548. First we will calculate the prime factors of 5542 and 5548.

Prime Factorization of 5542

Prime factors of 5542 are 2, 17, 163. Prime factorization of 5542 in exponential form is:

5542 = 21 × 171 × 1631

Prime Factorization of 5548

Prime factors of 5548 are 2, 19, 73. Prime factorization of 5548 in exponential form is:

5548 = 22 × 191 × 731

Now multiplying the highest exponent prime factors to calculate the LCM of 5542 and 5548.

LCM(5542,5548) = 22 × 171 × 1631 × 191 × 731
LCM(5542,5548) = 15373508