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What is the Least Common Multiple of 5196 and 5210?

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 5196 and 5210 is 13535580.

LCM(5196,5210) = 13535580

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Least Common Multiple of 5196 and 5210 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5196 and 5210, than apply into the LCM equation.

GCF(5196,5210) = 2
LCM(5196,5210) = ( 5196 × 5210) / 2
LCM(5196,5210) = 27071160 / 2
LCM(5196,5210) = 13535580

Least Common Multiple (LCM) of 5196 and 5210 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5196 and 5210. First we will calculate the prime factors of 5196 and 5210.

Prime Factorization of 5196

Prime factors of 5196 are 2, 3, 433. Prime factorization of 5196 in exponential form is:

5196 = 22 × 31 × 4331

Prime Factorization of 5210

Prime factors of 5210 are 2, 5, 521. Prime factorization of 5210 in exponential form is:

5210 = 21 × 51 × 5211

Now multiplying the highest exponent prime factors to calculate the LCM of 5196 and 5210.

LCM(5196,5210) = 22 × 31 × 4331 × 51 × 5211
LCM(5196,5210) = 13535580