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What is the Least Common Multiple of 56315 and 56333?

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 56315 and 56333 is 3172392895.

LCM(56315,56333) = 3172392895

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Least Common Multiple of 56315 and 56333 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56315 and 56333, than apply into the LCM equation.

GCF(56315,56333) = 1
LCM(56315,56333) = ( 56315 × 56333) / 1
LCM(56315,56333) = 3172392895 / 1
LCM(56315,56333) = 3172392895

Least Common Multiple (LCM) of 56315 and 56333 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56315 and 56333. First we will calculate the prime factors of 56315 and 56333.

Prime Factorization of 56315

Prime factors of 56315 are 5, 7, 1609. Prime factorization of 56315 in exponential form is:

56315 = 51 × 71 × 16091

Prime Factorization of 56333

Prime factors of 56333 are 56333. Prime factorization of 56333 in exponential form is:

56333 = 563331

Now multiplying the highest exponent prime factors to calculate the LCM of 56315 and 56333.

LCM(56315,56333) = 51 × 71 × 16091 × 563331
LCM(56315,56333) = 3172392895