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What is the Least Common Multiple of 55923 and 55943?

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 55923 and 55943 is 3128500389.

LCM(55923,55943) = 3128500389

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Least Common Multiple of 55923 and 55943 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55923 and 55943, than apply into the LCM equation.

GCF(55923,55943) = 1
LCM(55923,55943) = ( 55923 × 55943) / 1
LCM(55923,55943) = 3128500389 / 1
LCM(55923,55943) = 3128500389

Least Common Multiple (LCM) of 55923 and 55943 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55923 and 55943. First we will calculate the prime factors of 55923 and 55943.

Prime Factorization of 55923

Prime factors of 55923 are 3, 7, 2663. Prime factorization of 55923 in exponential form is:

55923 = 31 × 71 × 26631

Prime Factorization of 55943

Prime factors of 55943 are 43, 1301. Prime factorization of 55943 in exponential form is:

55943 = 431 × 13011

Now multiplying the highest exponent prime factors to calculate the LCM of 55923 and 55943.

LCM(55923,55943) = 31 × 71 × 26631 × 431 × 13011
LCM(55923,55943) = 3128500389