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What is the Least Common Multiple of 5260 and 5273?

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 5260 and 5273 is 27735980.

LCM(5260,5273) = 27735980

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Least Common Multiple of 5260 and 5273 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5260 and 5273, than apply into the LCM equation.

GCF(5260,5273) = 1
LCM(5260,5273) = ( 5260 × 5273) / 1
LCM(5260,5273) = 27735980 / 1
LCM(5260,5273) = 27735980

Least Common Multiple (LCM) of 5260 and 5273 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5260 and 5273. First we will calculate the prime factors of 5260 and 5273.

Prime Factorization of 5260

Prime factors of 5260 are 2, 5, 263. Prime factorization of 5260 in exponential form is:

5260 = 22 × 51 × 2631

Prime Factorization of 5273

Prime factors of 5273 are 5273. Prime factorization of 5273 in exponential form is:

5273 = 52731

Now multiplying the highest exponent prime factors to calculate the LCM of 5260 and 5273.

LCM(5260,5273) = 22 × 51 × 2631 × 52731
LCM(5260,5273) = 27735980