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What is the Least Common Multiple of 62924 and 62929?

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 62924 and 62929 is 3959744396.

LCM(62924,62929) = 3959744396

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Least Common Multiple of 62924 and 62929 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62924 and 62929, than apply into the LCM equation.

GCF(62924,62929) = 1
LCM(62924,62929) = ( 62924 × 62929) / 1
LCM(62924,62929) = 3959744396 / 1
LCM(62924,62929) = 3959744396

Least Common Multiple (LCM) of 62924 and 62929 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62924 and 62929. First we will calculate the prime factors of 62924 and 62929.

Prime Factorization of 62924

Prime factors of 62924 are 2, 15731. Prime factorization of 62924 in exponential form is:

62924 = 22 × 157311

Prime Factorization of 62929

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

62929 = 629291

Now multiplying the highest exponent prime factors to calculate the LCM of 62924 and 62929.

LCM(62924,62929) = 22 × 157311 × 629291
LCM(62924,62929) = 3959744396