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What is the Least Common Multiple of 55343 and 55349?

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 55343 and 55349 is 3063179707.

LCM(55343,55349) = 3063179707

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Least Common Multiple of 55343 and 55349 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55343 and 55349, than apply into the LCM equation.

GCF(55343,55349) = 1
LCM(55343,55349) = ( 55343 × 55349) / 1
LCM(55343,55349) = 3063179707 / 1
LCM(55343,55349) = 3063179707

Least Common Multiple (LCM) of 55343 and 55349 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55343 and 55349. First we will calculate the prime factors of 55343 and 55349.

Prime Factorization of 55343

Prime factors of 55343 are 55343. Prime factorization of 55343 in exponential form is:

55343 = 553431

Prime Factorization of 55349

Prime factors of 55349 are 7, 7907. Prime factorization of 55349 in exponential form is:

55349 = 71 × 79071

Now multiplying the highest exponent prime factors to calculate the LCM of 55343 and 55349.

LCM(55343,55349) = 553431 × 71 × 79071
LCM(55343,55349) = 3063179707