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What is the Least Common Multiple of 5299 and 5305?

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 5299 and 5305 is 28111195.

LCM(5299,5305) = 28111195

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Least Common Multiple of 5299 and 5305 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5299 and 5305, than apply into the LCM equation.

GCF(5299,5305) = 1
LCM(5299,5305) = ( 5299 × 5305) / 1
LCM(5299,5305) = 28111195 / 1
LCM(5299,5305) = 28111195

Least Common Multiple (LCM) of 5299 and 5305 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5299 and 5305. First we will calculate the prime factors of 5299 and 5305.

Prime Factorization of 5299

Prime factors of 5299 are 7, 757. Prime factorization of 5299 in exponential form is:

5299 = 71 × 7571

Prime Factorization of 5305

Prime factors of 5305 are 5, 1061. Prime factorization of 5305 in exponential form is:

5305 = 51 × 10611

Now multiplying the highest exponent prime factors to calculate the LCM of 5299 and 5305.

LCM(5299,5305) = 71 × 7571 × 51 × 10611
LCM(5299,5305) = 28111195