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What is the Least Common Multiple of 62263 and 62279?

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 62263 and 62279 is 3877677377.

LCM(62263,62279) = 3877677377

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Least Common Multiple of 62263 and 62279 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62263 and 62279, than apply into the LCM equation.

GCF(62263,62279) = 1
LCM(62263,62279) = ( 62263 × 62279) / 1
LCM(62263,62279) = 3877677377 / 1
LCM(62263,62279) = 3877677377

Least Common Multiple (LCM) of 62263 and 62279 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62263 and 62279. First we will calculate the prime factors of 62263 and 62279.

Prime Factorization of 62263

Prime factors of 62263 are 19, 29, 113. Prime factorization of 62263 in exponential form is:

62263 = 191 × 291 × 1131

Prime Factorization of 62279

Prime factors of 62279 are 7, 31, 41. Prime factorization of 62279 in exponential form is:

62279 = 72 × 311 × 411

Now multiplying the highest exponent prime factors to calculate the LCM of 62263 and 62279.

LCM(62263,62279) = 191 × 291 × 1131 × 72 × 311 × 411
LCM(62263,62279) = 3877677377