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What is the Least Common Multiple of 10944 and 10955?

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 10944 and 10955 is 119891520.

LCM(10944,10955) = 119891520

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Least Common Multiple of 10944 and 10955 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10944 and 10955, than apply into the LCM equation.

GCF(10944,10955) = 1
LCM(10944,10955) = ( 10944 × 10955) / 1
LCM(10944,10955) = 119891520 / 1
LCM(10944,10955) = 119891520

Least Common Multiple (LCM) of 10944 and 10955 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10944 and 10955. First we will calculate the prime factors of 10944 and 10955.

Prime Factorization of 10944

Prime factors of 10944 are 2, 3, 19. Prime factorization of 10944 in exponential form is:

10944 = 26 × 32 × 191

Prime Factorization of 10955

Prime factors of 10955 are 5, 7, 313. Prime factorization of 10955 in exponential form is:

10955 = 51 × 71 × 3131

Now multiplying the highest exponent prime factors to calculate the LCM of 10944 and 10955.

LCM(10944,10955) = 26 × 32 × 191 × 51 × 71 × 3131
LCM(10944,10955) = 119891520