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What is the Least Common Multiple of 56791 and 56805?

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 56791 and 56805 is 460858965.

LCM(56791,56805) = 460858965

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Least Common Multiple of 56791 and 56805 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56791 and 56805, than apply into the LCM equation.

GCF(56791,56805) = 7
LCM(56791,56805) = ( 56791 × 56805) / 7
LCM(56791,56805) = 3226012755 / 7
LCM(56791,56805) = 460858965

Least Common Multiple (LCM) of 56791 and 56805 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56791 and 56805. First we will calculate the prime factors of 56791 and 56805.

Prime Factorization of 56791

Prime factors of 56791 are 7, 19, 61. Prime factorization of 56791 in exponential form is:

56791 = 72 × 191 × 611

Prime Factorization of 56805

Prime factors of 56805 are 3, 5, 7, 541. Prime factorization of 56805 in exponential form is:

56805 = 31 × 51 × 71 × 5411

Now multiplying the highest exponent prime factors to calculate the LCM of 56791 and 56805.

LCM(56791,56805) = 72 × 191 × 611 × 31 × 51 × 5411
LCM(56791,56805) = 460858965