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What is the Least Common Multiple of 5240 and 5258?

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 5240 and 5258 is 13775960.

LCM(5240,5258) = 13775960

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Least Common Multiple of 5240 and 5258 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5240 and 5258, than apply into the LCM equation.

GCF(5240,5258) = 2
LCM(5240,5258) = ( 5240 × 5258) / 2
LCM(5240,5258) = 27551920 / 2
LCM(5240,5258) = 13775960

Least Common Multiple (LCM) of 5240 and 5258 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5240 and 5258. First we will calculate the prime factors of 5240 and 5258.

Prime Factorization of 5240

Prime factors of 5240 are 2, 5, 131. Prime factorization of 5240 in exponential form is:

5240 = 23 × 51 × 1311

Prime Factorization of 5258

Prime factors of 5258 are 2, 11, 239. Prime factorization of 5258 in exponential form is:

5258 = 21 × 111 × 2391

Now multiplying the highest exponent prime factors to calculate the LCM of 5240 and 5258.

LCM(5240,5258) = 23 × 51 × 1311 × 111 × 2391
LCM(5240,5258) = 13775960