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What is the Least Common Multiple of 56842 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 56842 and 56851 is 3231524542.

LCM(56842,56851) = 3231524542

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Least Common Multiple of 56842 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 56842 and 56851, than apply into the LCM equation.

GCF(56842,56851) = 1
LCM(56842,56851) = ( 56842 × 56851) / 1
LCM(56842,56851) = 3231524542 / 1
LCM(56842,56851) = 3231524542

Least Common Multiple (LCM) of 56842 and 56851 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56842 and 56851. First we will calculate the prime factors of 56842 and 56851.

Prime Factorization of 56842

Prime factors of 56842 are 2, 97, 293. Prime factorization of 56842 in exponential form is:

56842 = 21 × 971 × 2931

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 56842 and 56851.

LCM(56842,56851) = 21 × 971 × 2931 × 1391 × 4091
LCM(56842,56851) = 3231524542