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What is the Least Common Multiple of 62913 and 62927?

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 62913 and 62927 is 3958926351.

LCM(62913,62927) = 3958926351

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Least Common Multiple of 62913 and 62927 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62913 and 62927, than apply into the LCM equation.

GCF(62913,62927) = 1
LCM(62913,62927) = ( 62913 × 62927) / 1
LCM(62913,62927) = 3958926351 / 1
LCM(62913,62927) = 3958926351

Least Common Multiple (LCM) of 62913 and 62927 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62913 and 62927. First we will calculate the prime factors of 62913 and 62927.

Prime Factorization of 62913

Prime factors of 62913 are 3, 67, 313. Prime factorization of 62913 in exponential form is:

62913 = 31 × 671 × 3131

Prime Factorization of 62927

Prime factors of 62927 are 62927. Prime factorization of 62927 in exponential form is:

62927 = 629271

Now multiplying the highest exponent prime factors to calculate the LCM of 62913 and 62927.

LCM(62913,62927) = 31 × 671 × 3131 × 629271
LCM(62913,62927) = 3958926351