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What is the Least Common Multiple of 5490 and 5510?

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 5490 and 5510 is 3024990.

LCM(5490,5510) = 3024990

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Least Common Multiple of 5490 and 5510 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5490 and 5510, than apply into the LCM equation.

GCF(5490,5510) = 10
LCM(5490,5510) = ( 5490 × 5510) / 10
LCM(5490,5510) = 30249900 / 10
LCM(5490,5510) = 3024990

Least Common Multiple (LCM) of 5490 and 5510 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5490 and 5510. First we will calculate the prime factors of 5490 and 5510.

Prime Factorization of 5490

Prime factors of 5490 are 2, 3, 5, 61. Prime factorization of 5490 in exponential form is:

5490 = 21 × 32 × 51 × 611

Prime Factorization of 5510

Prime factors of 5510 are 2, 5, 19, 29. Prime factorization of 5510 in exponential form is:

5510 = 21 × 51 × 191 × 291

Now multiplying the highest exponent prime factors to calculate the LCM of 5490 and 5510.

LCM(5490,5510) = 21 × 32 × 51 × 611 × 191 × 291
LCM(5490,5510) = 3024990