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What is the Least Common Multiple of 55499 and 55510?

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 55499 and 55510 is 3080749490.

LCM(55499,55510) = 3080749490

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Least Common Multiple of 55499 and 55510 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55499 and 55510, than apply into the LCM equation.

GCF(55499,55510) = 1
LCM(55499,55510) = ( 55499 × 55510) / 1
LCM(55499,55510) = 3080749490 / 1
LCM(55499,55510) = 3080749490

Least Common Multiple (LCM) of 55499 and 55510 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55499 and 55510. First we will calculate the prime factors of 55499 and 55510.

Prime Factorization of 55499

Prime factors of 55499 are 19, 23, 127. Prime factorization of 55499 in exponential form is:

55499 = 191 × 231 × 1271

Prime Factorization of 55510

Prime factors of 55510 are 2, 5, 7, 13, 61. Prime factorization of 55510 in exponential form is:

55510 = 21 × 51 × 71 × 131 × 611

Now multiplying the highest exponent prime factors to calculate the LCM of 55499 and 55510.

LCM(55499,55510) = 191 × 231 × 1271 × 21 × 51 × 71 × 131 × 611
LCM(55499,55510) = 3080749490