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What is the Least Common Multiple of 55332 and 55344?

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 55332 and 55344 is 255191184.

LCM(55332,55344) = 255191184

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Least Common Multiple of 55332 and 55344 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55332 and 55344, than apply into the LCM equation.

GCF(55332,55344) = 12
LCM(55332,55344) = ( 55332 × 55344) / 12
LCM(55332,55344) = 3062294208 / 12
LCM(55332,55344) = 255191184

Least Common Multiple (LCM) of 55332 and 55344 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55332 and 55344. First we will calculate the prime factors of 55332 and 55344.

Prime Factorization of 55332

Prime factors of 55332 are 2, 3, 29, 53. Prime factorization of 55332 in exponential form is:

55332 = 22 × 32 × 291 × 531

Prime Factorization of 55344

Prime factors of 55344 are 2, 3, 1153. Prime factorization of 55344 in exponential form is:

55344 = 24 × 31 × 11531

Now multiplying the highest exponent prime factors to calculate the LCM of 55332 and 55344.

LCM(55332,55344) = 24 × 32 × 291 × 531 × 11531
LCM(55332,55344) = 255191184