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What is the Least Common Multiple of 9534 and 9550?

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 9534 and 9550 is 45524850.

LCM(9534,9550) = 45524850

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Least Common Multiple of 9534 and 9550 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9534 and 9550, than apply into the LCM equation.

GCF(9534,9550) = 2
LCM(9534,9550) = ( 9534 × 9550) / 2
LCM(9534,9550) = 91049700 / 2
LCM(9534,9550) = 45524850

Least Common Multiple (LCM) of 9534 and 9550 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9534 and 9550. First we will calculate the prime factors of 9534 and 9550.

Prime Factorization of 9534

Prime factors of 9534 are 2, 3, 7, 227. Prime factorization of 9534 in exponential form is:

9534 = 21 × 31 × 71 × 2271

Prime Factorization of 9550

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

9550 = 21 × 52 × 1911

Now multiplying the highest exponent prime factors to calculate the LCM of 9534 and 9550.

LCM(9534,9550) = 21 × 31 × 71 × 2271 × 52 × 1911
LCM(9534,9550) = 45524850