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What is the Least Common Multiple of 54314 and 54333?

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 54314 and 54333 is 2951042562.

LCM(54314,54333) = 2951042562

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Least Common Multiple of 54314 and 54333 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54314 and 54333, than apply into the LCM equation.

GCF(54314,54333) = 1
LCM(54314,54333) = ( 54314 × 54333) / 1
LCM(54314,54333) = 2951042562 / 1
LCM(54314,54333) = 2951042562

Least Common Multiple (LCM) of 54314 and 54333 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54314 and 54333. First we will calculate the prime factors of 54314 and 54333.

Prime Factorization of 54314

Prime factors of 54314 are 2, 13, 2089. Prime factorization of 54314 in exponential form is:

54314 = 21 × 131 × 20891

Prime Factorization of 54333

Prime factors of 54333 are 3, 6037. Prime factorization of 54333 in exponential form is:

54333 = 32 × 60371

Now multiplying the highest exponent prime factors to calculate the LCM of 54314 and 54333.

LCM(54314,54333) = 21 × 131 × 20891 × 32 × 60371
LCM(54314,54333) = 2951042562