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What is the Least Common Multiple of 62897 and 62909?

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 62897 and 62909 is 3956787373.

LCM(62897,62909) = 3956787373

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Least Common Multiple of 62897 and 62909 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62897 and 62909, than apply into the LCM equation.

GCF(62897,62909) = 1
LCM(62897,62909) = ( 62897 × 62909) / 1
LCM(62897,62909) = 3956787373 / 1
LCM(62897,62909) = 3956787373

Least Common Multiple (LCM) of 62897 and 62909 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62897 and 62909. First we will calculate the prime factors of 62897 and 62909.

Prime Factorization of 62897

Prime factors of 62897 are 62897. Prime factorization of 62897 in exponential form is:

62897 = 628971

Prime Factorization of 62909

Prime factors of 62909 are 7, 11, 19, 43. Prime factorization of 62909 in exponential form is:

62909 = 71 × 111 × 191 × 431

Now multiplying the highest exponent prime factors to calculate the LCM of 62897 and 62909.

LCM(62897,62909) = 628971 × 71 × 111 × 191 × 431
LCM(62897,62909) = 3956787373