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What is the Least Common Multiple of 55565 and 55584?

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 55565 and 55584 is 3088524960.

LCM(55565,55584) = 3088524960

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Least Common Multiple of 55565 and 55584 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55565 and 55584, than apply into the LCM equation.

GCF(55565,55584) = 1
LCM(55565,55584) = ( 55565 × 55584) / 1
LCM(55565,55584) = 3088524960 / 1
LCM(55565,55584) = 3088524960

Least Common Multiple (LCM) of 55565 and 55584 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55565 and 55584. First we will calculate the prime factors of 55565 and 55584.

Prime Factorization of 55565

Prime factors of 55565 are 5, 11113. Prime factorization of 55565 in exponential form is:

55565 = 51 × 111131

Prime Factorization of 55584

Prime factors of 55584 are 2, 3, 193. Prime factorization of 55584 in exponential form is:

55584 = 25 × 32 × 1931

Now multiplying the highest exponent prime factors to calculate the LCM of 55565 and 55584.

LCM(55565,55584) = 51 × 111131 × 25 × 32 × 1931
LCM(55565,55584) = 3088524960