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What is the Least Common Multiple of 5529 and 5544?

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 5529 and 5544 is 10217592.

LCM(5529,5544) = 10217592

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Least Common Multiple of 5529 and 5544 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5529 and 5544, than apply into the LCM equation.

GCF(5529,5544) = 3
LCM(5529,5544) = ( 5529 × 5544) / 3
LCM(5529,5544) = 30652776 / 3
LCM(5529,5544) = 10217592

Least Common Multiple (LCM) of 5529 and 5544 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5529 and 5544. First we will calculate the prime factors of 5529 and 5544.

Prime Factorization of 5529

Prime factors of 5529 are 3, 19, 97. Prime factorization of 5529 in exponential form is:

5529 = 31 × 191 × 971

Prime Factorization of 5544

Prime factors of 5544 are 2, 3, 7, 11. Prime factorization of 5544 in exponential form is:

5544 = 23 × 32 × 71 × 111

Now multiplying the highest exponent prime factors to calculate the LCM of 5529 and 5544.

LCM(5529,5544) = 32 × 191 × 971 × 23 × 71 × 111
LCM(5529,5544) = 10217592