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What is the Least Common Multiple of 54329 and 54344?

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 54329 and 54344 is 2952455176.

LCM(54329,54344) = 2952455176

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Least Common Multiple of 54329 and 54344 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54329 and 54344, than apply into the LCM equation.

GCF(54329,54344) = 1
LCM(54329,54344) = ( 54329 × 54344) / 1
LCM(54329,54344) = 2952455176 / 1
LCM(54329,54344) = 2952455176

Least Common Multiple (LCM) of 54329 and 54344 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54329 and 54344. First we will calculate the prime factors of 54329 and 54344.

Prime Factorization of 54329

Prime factors of 54329 are 11, 449. Prime factorization of 54329 in exponential form is:

54329 = 112 × 4491

Prime Factorization of 54344

Prime factors of 54344 are 2, 6793. Prime factorization of 54344 in exponential form is:

54344 = 23 × 67931

Now multiplying the highest exponent prime factors to calculate the LCM of 54329 and 54344.

LCM(54329,54344) = 112 × 4491 × 23 × 67931
LCM(54329,54344) = 2952455176