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What is the Least Common Multiple of 10550 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 10550 and 10556 is 55682900.

LCM(10550,10556) = 55682900

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Least Common Multiple of 10550 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 10550 and 10556, than apply into the LCM equation.

GCF(10550,10556) = 2
LCM(10550,10556) = ( 10550 × 10556) / 2
LCM(10550,10556) = 111365800 / 2
LCM(10550,10556) = 55682900

Least Common Multiple (LCM) of 10550 and 10556 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10550 and 10556. First we will calculate the prime factors of 10550 and 10556.

Prime Factorization of 10550

Prime factors of 10550 are 2, 5, 211. Prime factorization of 10550 in exponential form is:

10550 = 21 × 52 × 2111

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 10550 and 10556.

LCM(10550,10556) = 22 × 52 × 2111 × 71 × 131 × 291
LCM(10550,10556) = 55682900