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What is the Least Common Multiple of 54326 and 54343?

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 54326 and 54343 is 2952237818.

LCM(54326,54343) = 2952237818

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Least Common Multiple of 54326 and 54343 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54326 and 54343, than apply into the LCM equation.

GCF(54326,54343) = 1
LCM(54326,54343) = ( 54326 × 54343) / 1
LCM(54326,54343) = 2952237818 / 1
LCM(54326,54343) = 2952237818

Least Common Multiple (LCM) of 54326 and 54343 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54326 and 54343. First we will calculate the prime factors of 54326 and 54343.

Prime Factorization of 54326

Prime factors of 54326 are 2, 23, 1181. Prime factorization of 54326 in exponential form is:

54326 = 21 × 231 × 11811

Prime Factorization of 54343

Prime factors of 54343 are 31, 1753. Prime factorization of 54343 in exponential form is:

54343 = 311 × 17531

Now multiplying the highest exponent prime factors to calculate the LCM of 54326 and 54343.

LCM(54326,54343) = 21 × 231 × 11811 × 311 × 17531
LCM(54326,54343) = 2952237818