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What is the Least Common Multiple of 5236 and 5256?

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 5236 and 5256 is 6880104.

LCM(5236,5256) = 6880104

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Least Common Multiple of 5236 and 5256 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5236 and 5256, than apply into the LCM equation.

GCF(5236,5256) = 4
LCM(5236,5256) = ( 5236 × 5256) / 4
LCM(5236,5256) = 27520416 / 4
LCM(5236,5256) = 6880104

Least Common Multiple (LCM) of 5236 and 5256 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5236 and 5256. First we will calculate the prime factors of 5236 and 5256.

Prime Factorization of 5236

Prime factors of 5236 are 2, 7, 11, 17. Prime factorization of 5236 in exponential form is:

5236 = 22 × 71 × 111 × 171

Prime Factorization of 5256

Prime factors of 5256 are 2, 3, 73. Prime factorization of 5256 in exponential form is:

5256 = 23 × 32 × 731

Now multiplying the highest exponent prime factors to calculate the LCM of 5236 and 5256.

LCM(5236,5256) = 23 × 71 × 111 × 171 × 32 × 731
LCM(5236,5256) = 6880104