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What is the Least Common Multiple of 54319 and 54332?

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 54319 and 54332 is 2951259908.

LCM(54319,54332) = 2951259908

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Least Common Multiple of 54319 and 54332 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54319 and 54332, than apply into the LCM equation.

GCF(54319,54332) = 1
LCM(54319,54332) = ( 54319 × 54332) / 1
LCM(54319,54332) = 2951259908 / 1
LCM(54319,54332) = 2951259908

Least Common Multiple (LCM) of 54319 and 54332 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54319 and 54332. First we will calculate the prime factors of 54319 and 54332.

Prime Factorization of 54319

Prime factors of 54319 are 54319. Prime factorization of 54319 in exponential form is:

54319 = 543191

Prime Factorization of 54332

Prime factors of 54332 are 2, 17, 47. Prime factorization of 54332 in exponential form is:

54332 = 22 × 172 × 471

Now multiplying the highest exponent prime factors to calculate the LCM of 54319 and 54332.

LCM(54319,54332) = 543191 × 22 × 172 × 471
LCM(54319,54332) = 2951259908