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What is the Least Common Multiple of 62871 and 62881?

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 62871 and 62881 is 3953391351.

LCM(62871,62881) = 3953391351

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Least Common Multiple of 62871 and 62881 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62871 and 62881, than apply into the LCM equation.

GCF(62871,62881) = 1
LCM(62871,62881) = ( 62871 × 62881) / 1
LCM(62871,62881) = 3953391351 / 1
LCM(62871,62881) = 3953391351

Least Common Multiple (LCM) of 62871 and 62881 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62871 and 62881. First we will calculate the prime factors of 62871 and 62881.

Prime Factorization of 62871

Prime factors of 62871 are 3, 19, 1103. Prime factorization of 62871 in exponential form is:

62871 = 31 × 191 × 11031

Prime Factorization of 62881

Prime factors of 62881 are 7, 13, 691. Prime factorization of 62881 in exponential form is:

62881 = 71 × 131 × 6911

Now multiplying the highest exponent prime factors to calculate the LCM of 62871 and 62881.

LCM(62871,62881) = 31 × 191 × 11031 × 71 × 131 × 6911
LCM(62871,62881) = 3953391351