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What is the Least Common Multiple of 56768 and 56788?

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 56768 and 56788 is 805935296.

LCM(56768,56788) = 805935296

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Least Common Multiple of 56768 and 56788 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56768 and 56788, than apply into the LCM equation.

GCF(56768,56788) = 4
LCM(56768,56788) = ( 56768 × 56788) / 4
LCM(56768,56788) = 3223741184 / 4
LCM(56768,56788) = 805935296

Least Common Multiple (LCM) of 56768 and 56788 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56768 and 56788. First we will calculate the prime factors of 56768 and 56788.

Prime Factorization of 56768

Prime factors of 56768 are 2, 887. Prime factorization of 56768 in exponential form is:

56768 = 26 × 8871

Prime Factorization of 56788

Prime factors of 56788 are 2, 14197. Prime factorization of 56788 in exponential form is:

56788 = 22 × 141971

Now multiplying the highest exponent prime factors to calculate the LCM of 56768 and 56788.

LCM(56768,56788) = 26 × 8871 × 141971
LCM(56768,56788) = 805935296