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What is the Least Common Multiple of 5550 and 5556?

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 5550 and 5556 is 5139300.

LCM(5550,5556) = 5139300

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Least Common Multiple of 5550 and 5556 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5550 and 5556, than apply into the LCM equation.

GCF(5550,5556) = 6
LCM(5550,5556) = ( 5550 × 5556) / 6
LCM(5550,5556) = 30835800 / 6
LCM(5550,5556) = 5139300

Least Common Multiple (LCM) of 5550 and 5556 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5550 and 5556. First we will calculate the prime factors of 5550 and 5556.

Prime Factorization of 5550

Prime factors of 5550 are 2, 3, 5, 37. Prime factorization of 5550 in exponential form is:

5550 = 21 × 31 × 52 × 371

Prime Factorization of 5556

Prime factors of 5556 are 2, 3, 463. Prime factorization of 5556 in exponential form is:

5556 = 22 × 31 × 4631

Now multiplying the highest exponent prime factors to calculate the LCM of 5550 and 5556.

LCM(5550,5556) = 22 × 31 × 52 × 371 × 4631
LCM(5550,5556) = 5139300