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What is the Least Common Multiple of 56231 and 56238?

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 56231 and 56238 is 451759854.

LCM(56231,56238) = 451759854

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Least Common Multiple of 56231 and 56238 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56231 and 56238, than apply into the LCM equation.

GCF(56231,56238) = 7
LCM(56231,56238) = ( 56231 × 56238) / 7
LCM(56231,56238) = 3162318978 / 7
LCM(56231,56238) = 451759854

Least Common Multiple (LCM) of 56231 and 56238 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56231 and 56238. First we will calculate the prime factors of 56231 and 56238.

Prime Factorization of 56231

Prime factors of 56231 are 7, 29, 277. Prime factorization of 56231 in exponential form is:

56231 = 71 × 291 × 2771

Prime Factorization of 56238

Prime factors of 56238 are 2, 3, 7, 13, 103. Prime factorization of 56238 in exponential form is:

56238 = 21 × 31 × 71 × 131 × 1031

Now multiplying the highest exponent prime factors to calculate the LCM of 56231 and 56238.

LCM(56231,56238) = 71 × 291 × 2771 × 21 × 31 × 131 × 1031
LCM(56231,56238) = 451759854