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What is the Least Common Multiple of 55580 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 55580 and 55584 is 772339680.

LCM(55580,55584) = 772339680

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Least Common Multiple of 55580 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 55580 and 55584, than apply into the LCM equation.

GCF(55580,55584) = 4
LCM(55580,55584) = ( 55580 × 55584) / 4
LCM(55580,55584) = 3089358720 / 4
LCM(55580,55584) = 772339680

Least Common Multiple (LCM) of 55580 and 55584 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55580 and 55584. First we will calculate the prime factors of 55580 and 55584.

Prime Factorization of 55580

Prime factors of 55580 are 2, 5, 7, 397. Prime factorization of 55580 in exponential form is:

55580 = 22 × 51 × 71 × 3971

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 55580 and 55584.

LCM(55580,55584) = 25 × 51 × 71 × 3971 × 32 × 1931
LCM(55580,55584) = 772339680