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What is the Least Common Multiple of 56786 and 56795?

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 56786 and 56795 is 3225160870.

LCM(56786,56795) = 3225160870

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Least Common Multiple of 56786 and 56795 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56786 and 56795, than apply into the LCM equation.

GCF(56786,56795) = 1
LCM(56786,56795) = ( 56786 × 56795) / 1
LCM(56786,56795) = 3225160870 / 1
LCM(56786,56795) = 3225160870

Least Common Multiple (LCM) of 56786 and 56795 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56786 and 56795. First we will calculate the prime factors of 56786 and 56795.

Prime Factorization of 56786

Prime factors of 56786 are 2, 28393. Prime factorization of 56786 in exponential form is:

56786 = 21 × 283931

Prime Factorization of 56795

Prime factors of 56795 are 5, 37, 307. Prime factorization of 56795 in exponential form is:

56795 = 51 × 371 × 3071

Now multiplying the highest exponent prime factors to calculate the LCM of 56786 and 56795.

LCM(56786,56795) = 21 × 283931 × 51 × 371 × 3071
LCM(56786,56795) = 3225160870