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What is the Least Common Multiple of 5545 and 5554?

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 5545 and 5554 is 30796930.

LCM(5545,5554) = 30796930

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Least Common Multiple of 5545 and 5554 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5545 and 5554, than apply into the LCM equation.

GCF(5545,5554) = 1
LCM(5545,5554) = ( 5545 × 5554) / 1
LCM(5545,5554) = 30796930 / 1
LCM(5545,5554) = 30796930

Least Common Multiple (LCM) of 5545 and 5554 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5545 and 5554. First we will calculate the prime factors of 5545 and 5554.

Prime Factorization of 5545

Prime factors of 5545 are 5, 1109. Prime factorization of 5545 in exponential form is:

5545 = 51 × 11091

Prime Factorization of 5554

Prime factors of 5554 are 2, 2777. Prime factorization of 5554 in exponential form is:

5554 = 21 × 27771

Now multiplying the highest exponent prime factors to calculate the LCM of 5545 and 5554.

LCM(5545,5554) = 51 × 11091 × 21 × 27771
LCM(5545,5554) = 30796930