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What is the Least Common Multiple of 5226 and 5235?

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 5226 and 5235 is 9119370.

LCM(5226,5235) = 9119370

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Least Common Multiple of 5226 and 5235 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5226 and 5235, than apply into the LCM equation.

GCF(5226,5235) = 3
LCM(5226,5235) = ( 5226 × 5235) / 3
LCM(5226,5235) = 27358110 / 3
LCM(5226,5235) = 9119370

Least Common Multiple (LCM) of 5226 and 5235 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5226 and 5235. First we will calculate the prime factors of 5226 and 5235.

Prime Factorization of 5226

Prime factors of 5226 are 2, 3, 13, 67. Prime factorization of 5226 in exponential form is:

5226 = 21 × 31 × 131 × 671

Prime Factorization of 5235

Prime factors of 5235 are 3, 5, 349. Prime factorization of 5235 in exponential form is:

5235 = 31 × 51 × 3491

Now multiplying the highest exponent prime factors to calculate the LCM of 5226 and 5235.

LCM(5226,5235) = 21 × 31 × 131 × 671 × 51 × 3491
LCM(5226,5235) = 9119370