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What is the Least Common Multiple of 5542 and 5553?

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 5553 is 30774726.

LCM(5542,5553) = 30774726

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Least Common Multiple of 5542 and 5553 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 5553, than apply into the LCM equation.

GCF(5542,5553) = 1
LCM(5542,5553) = ( 5542 × 5553) / 1
LCM(5542,5553) = 30774726 / 1
LCM(5542,5553) = 30774726

Least Common Multiple (LCM) of 5542 and 5553 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5542 and 5553. First we will calculate the prime factors of 5542 and 5553.

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 5553

Prime factors of 5553 are 3, 617. Prime factorization of 5553 in exponential form is:

5553 = 32 × 6171

Now multiplying the highest exponent prime factors to calculate the LCM of 5542 and 5553.

LCM(5542,5553) = 21 × 171 × 1631 × 32 × 6171
LCM(5542,5553) = 30774726