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What is the Least Common Multiple of 62323 and 62329?

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 62323 and 62329 is 3884530267.

LCM(62323,62329) = 3884530267

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Least Common Multiple of 62323 and 62329 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62323 and 62329, than apply into the LCM equation.

GCF(62323,62329) = 1
LCM(62323,62329) = ( 62323 × 62329) / 1
LCM(62323,62329) = 3884530267 / 1
LCM(62323,62329) = 3884530267

Least Common Multiple (LCM) of 62323 and 62329 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62323 and 62329. First we will calculate the prime factors of 62323 and 62329.

Prime Factorization of 62323

Prime factors of 62323 are 62323. Prime factorization of 62323 in exponential form is:

62323 = 623231

Prime Factorization of 62329

Prime factors of 62329 are 157, 397. Prime factorization of 62329 in exponential form is:

62329 = 1571 × 3971

Now multiplying the highest exponent prime factors to calculate the LCM of 62323 and 62329.

LCM(62323,62329) = 623231 × 1571 × 3971
LCM(62323,62329) = 3884530267