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What is the Least Common Multiple of 56833 and 56851?

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 56833 and 56851 is 3231012883.

LCM(56833,56851) = 3231012883

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Least Common Multiple of 56833 and 56851 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56833 and 56851, than apply into the LCM equation.

GCF(56833,56851) = 1
LCM(56833,56851) = ( 56833 × 56851) / 1
LCM(56833,56851) = 3231012883 / 1
LCM(56833,56851) = 3231012883

Least Common Multiple (LCM) of 56833 and 56851 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56833 and 56851. First we will calculate the prime factors of 56833 and 56851.

Prime Factorization of 56833

Prime factors of 56833 are 7, 23, 353. Prime factorization of 56833 in exponential form is:

56833 = 71 × 231 × 3531

Prime Factorization of 56851

Prime factors of 56851 are 139, 409. Prime factorization of 56851 in exponential form is:

56851 = 1391 × 4091

Now multiplying the highest exponent prime factors to calculate the LCM of 56833 and 56851.

LCM(56833,56851) = 71 × 231 × 3531 × 1391 × 4091
LCM(56833,56851) = 3231012883