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What is the Least Common Multiple of 5253 and 5259?

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 5253 and 5259 is 9208509.

LCM(5253,5259) = 9208509

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Least Common Multiple of 5253 and 5259 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5253 and 5259, than apply into the LCM equation.

GCF(5253,5259) = 3
LCM(5253,5259) = ( 5253 × 5259) / 3
LCM(5253,5259) = 27625527 / 3
LCM(5253,5259) = 9208509

Least Common Multiple (LCM) of 5253 and 5259 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5253 and 5259. First we will calculate the prime factors of 5253 and 5259.

Prime Factorization of 5253

Prime factors of 5253 are 3, 17, 103. Prime factorization of 5253 in exponential form is:

5253 = 31 × 171 × 1031

Prime Factorization of 5259

Prime factors of 5259 are 3, 1753. Prime factorization of 5259 in exponential form is:

5259 = 31 × 17531

Now multiplying the highest exponent prime factors to calculate the LCM of 5253 and 5259.

LCM(5253,5259) = 31 × 171 × 1031 × 17531
LCM(5253,5259) = 9208509