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What is the Least Common Multiple of 62899 and 62906?

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 62899 and 62906 is 3956724494.

LCM(62899,62906) = 3956724494

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Least Common Multiple of 62899 and 62906 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62899 and 62906, than apply into the LCM equation.

GCF(62899,62906) = 1
LCM(62899,62906) = ( 62899 × 62906) / 1
LCM(62899,62906) = 3956724494 / 1
LCM(62899,62906) = 3956724494

Least Common Multiple (LCM) of 62899 and 62906 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62899 and 62906. First we will calculate the prime factors of 62899 and 62906.

Prime Factorization of 62899

Prime factors of 62899 are 31, 2029. Prime factorization of 62899 in exponential form is:

62899 = 311 × 20291

Prime Factorization of 62906

Prime factors of 62906 are 2, 71, 443. Prime factorization of 62906 in exponential form is:

62906 = 21 × 711 × 4431

Now multiplying the highest exponent prime factors to calculate the LCM of 62899 and 62906.

LCM(62899,62906) = 311 × 20291 × 21 × 711 × 4431
LCM(62899,62906) = 3956724494