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What is the Least Common Multiple of 9550 and 9556?

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 9550 and 9556 is 45629900.

LCM(9550,9556) = 45629900

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Least Common Multiple of 9550 and 9556 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9550 and 9556, than apply into the LCM equation.

GCF(9550,9556) = 2
LCM(9550,9556) = ( 9550 × 9556) / 2
LCM(9550,9556) = 91259800 / 2
LCM(9550,9556) = 45629900

Least Common Multiple (LCM) of 9550 and 9556 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9550 and 9556. First we will calculate the prime factors of 9550 and 9556.

Prime Factorization of 9550

Prime factors of 9550 are 2, 5, 191. Prime factorization of 9550 in exponential form is:

9550 = 21 × 52 × 1911

Prime Factorization of 9556

Prime factors of 9556 are 2, 2389. Prime factorization of 9556 in exponential form is:

9556 = 22 × 23891

Now multiplying the highest exponent prime factors to calculate the LCM of 9550 and 9556.

LCM(9550,9556) = 22 × 52 × 1911 × 23891
LCM(9550,9556) = 45629900