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What is the Least Common Multiple of 55808 and 55828?

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 55808 and 55828 is 778912256.

LCM(55808,55828) = 778912256

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Least Common Multiple of 55808 and 55828 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55808 and 55828, than apply into the LCM equation.

GCF(55808,55828) = 4
LCM(55808,55828) = ( 55808 × 55828) / 4
LCM(55808,55828) = 3115649024 / 4
LCM(55808,55828) = 778912256

Least Common Multiple (LCM) of 55808 and 55828 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55808 and 55828. First we will calculate the prime factors of 55808 and 55828.

Prime Factorization of 55808

Prime factors of 55808 are 2, 109. Prime factorization of 55808 in exponential form is:

55808 = 29 × 1091

Prime Factorization of 55828

Prime factors of 55828 are 2, 17, 821. Prime factorization of 55828 in exponential form is:

55828 = 22 × 171 × 8211

Now multiplying the highest exponent prime factors to calculate the LCM of 55808 and 55828.

LCM(55808,55828) = 29 × 1091 × 171 × 8211
LCM(55808,55828) = 778912256