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What is the Least Common Multiple of 62871 and 62876?

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 62876 is 3953076996.

LCM(62871,62876) = 3953076996

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Least Common Multiple of 62871 and 62876 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 62876, than apply into the LCM equation.

GCF(62871,62876) = 1
LCM(62871,62876) = ( 62871 × 62876) / 1
LCM(62871,62876) = 3953076996 / 1
LCM(62871,62876) = 3953076996

Least Common Multiple (LCM) of 62871 and 62876 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62871 and 62876. First we will calculate the prime factors of 62871 and 62876.

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 62876

Prime factors of 62876 are 2, 11, 1429. Prime factorization of 62876 in exponential form is:

62876 = 22 × 111 × 14291

Now multiplying the highest exponent prime factors to calculate the LCM of 62871 and 62876.

LCM(62871,62876) = 31 × 191 × 11031 × 22 × 111 × 14291
LCM(62871,62876) = 3953076996