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What is the Least Common Multiple of 55337 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 55337 and 55349 is 3062847613.

LCM(55337,55349) = 3062847613

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Least Common Multiple of 55337 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 55337 and 55349, than apply into the LCM equation.

GCF(55337,55349) = 1
LCM(55337,55349) = ( 55337 × 55349) / 1
LCM(55337,55349) = 3062847613 / 1
LCM(55337,55349) = 3062847613

Least Common Multiple (LCM) of 55337 and 55349 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55337 and 55349. First we will calculate the prime factors of 55337 and 55349.

Prime Factorization of 55337

Prime factors of 55337 are 55337. Prime factorization of 55337 in exponential form is:

55337 = 553371

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 55337 and 55349.

LCM(55337,55349) = 553371 × 71 × 79071
LCM(55337,55349) = 3062847613