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What is the Least Common Multiple of 56335 and 56347?

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 56335 and 56347 is 3174308245.

LCM(56335,56347) = 3174308245

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Least Common Multiple of 56335 and 56347 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56335 and 56347, than apply into the LCM equation.

GCF(56335,56347) = 1
LCM(56335,56347) = ( 56335 × 56347) / 1
LCM(56335,56347) = 3174308245 / 1
LCM(56335,56347) = 3174308245

Least Common Multiple (LCM) of 56335 and 56347 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56335 and 56347. First we will calculate the prime factors of 56335 and 56347.

Prime Factorization of 56335

Prime factors of 56335 are 5, 19, 593. Prime factorization of 56335 in exponential form is:

56335 = 51 × 191 × 5931

Prime Factorization of 56347

Prime factors of 56347 are 29, 67. Prime factorization of 56347 in exponential form is:

56347 = 292 × 671

Now multiplying the highest exponent prime factors to calculate the LCM of 56335 and 56347.

LCM(56335,56347) = 51 × 191 × 5931 × 292 × 671
LCM(56335,56347) = 3174308245