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What is the Least Common Multiple of 56315 and 56334?

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 56334 is 3172449210.

LCM(56315,56334) = 3172449210

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Least Common Multiple of 56315 and 56334 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 56334, than apply into the LCM equation.

GCF(56315,56334) = 1
LCM(56315,56334) = ( 56315 × 56334) / 1
LCM(56315,56334) = 3172449210 / 1
LCM(56315,56334) = 3172449210

Least Common Multiple (LCM) of 56315 and 56334 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56315 and 56334. First we will calculate the prime factors of 56315 and 56334.

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 56334

Prime factors of 56334 are 2, 3, 41, 229. Prime factorization of 56334 in exponential form is:

56334 = 21 × 31 × 411 × 2291

Now multiplying the highest exponent prime factors to calculate the LCM of 56315 and 56334.

LCM(56315,56334) = 51 × 71 × 16091 × 21 × 31 × 411 × 2291
LCM(56315,56334) = 3172449210