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What is the Least Common Multiple of 10552 and 10556?

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 10552 and 10556 is 27846728.

LCM(10552,10556) = 27846728

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Least Common Multiple of 10552 and 10556 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10552 and 10556, than apply into the LCM equation.

GCF(10552,10556) = 4
LCM(10552,10556) = ( 10552 × 10556) / 4
LCM(10552,10556) = 111386912 / 4
LCM(10552,10556) = 27846728

Least Common Multiple (LCM) of 10552 and 10556 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10552 and 10556. First we will calculate the prime factors of 10552 and 10556.

Prime Factorization of 10552

Prime factors of 10552 are 2, 1319. Prime factorization of 10552 in exponential form is:

10552 = 23 × 13191

Prime Factorization of 10556

Prime factors of 10556 are 2, 7, 13, 29. Prime factorization of 10556 in exponential form is:

10556 = 22 × 71 × 131 × 291

Now multiplying the highest exponent prime factors to calculate the LCM of 10552 and 10556.

LCM(10552,10556) = 23 × 13191 × 71 × 131 × 291
LCM(10552,10556) = 27846728