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What is the Least Common Multiple of 56810 and 56824?

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 56810 and 56824 is 1614085720.

LCM(56810,56824) = 1614085720

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Least Common Multiple of 56810 and 56824 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56810 and 56824, than apply into the LCM equation.

GCF(56810,56824) = 2
LCM(56810,56824) = ( 56810 × 56824) / 2
LCM(56810,56824) = 3228171440 / 2
LCM(56810,56824) = 1614085720

Least Common Multiple (LCM) of 56810 and 56824 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56810 and 56824. First we will calculate the prime factors of 56810 and 56824.

Prime Factorization of 56810

Prime factors of 56810 are 2, 5, 13, 19, 23. Prime factorization of 56810 in exponential form is:

56810 = 21 × 51 × 131 × 191 × 231

Prime Factorization of 56824

Prime factors of 56824 are 2, 7103. Prime factorization of 56824 in exponential form is:

56824 = 23 × 71031

Now multiplying the highest exponent prime factors to calculate the LCM of 56810 and 56824.

LCM(56810,56824) = 23 × 51 × 131 × 191 × 231 × 71031
LCM(56810,56824) = 1614085720