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What is the Least Common Multiple of 62929 and 62933?

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 62929 and 62933 is 3960310757.

LCM(62929,62933) = 3960310757

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Least Common Multiple of 62929 and 62933 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62929 and 62933, than apply into the LCM equation.

GCF(62929,62933) = 1
LCM(62929,62933) = ( 62929 × 62933) / 1
LCM(62929,62933) = 3960310757 / 1
LCM(62929,62933) = 3960310757

Least Common Multiple (LCM) of 62929 and 62933 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62929 and 62933. First we will calculate the prime factors of 62929 and 62933.

Prime Factorization of 62929

Prime factors of 62929 are 62929. Prime factorization of 62929 in exponential form is:

62929 = 629291

Prime Factorization of 62933

Prime factors of 62933 are 13, 47, 103. Prime factorization of 62933 in exponential form is:

62933 = 131 × 471 × 1031

Now multiplying the highest exponent prime factors to calculate the LCM of 62929 and 62933.

LCM(62929,62933) = 629291 × 131 × 471 × 1031
LCM(62929,62933) = 3960310757