What is the Least Common Multiple of 62857 and 62871?
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 62857 and 62871 is 3951882447.
LCM(62857,62871) = 3951882447
Least Common Multiple of 62857 and 62871 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62857 and 62871, than apply into the LCM equation.
GCF(62857,62871) = 1
LCM(62857,62871) = ( 62857 × 62871) / 1
LCM(62857,62871) = 3951882447 / 1
LCM(62857,62871) = 3951882447
Least Common Multiple (LCM) of 62857 and 62871 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 62857 and 62871. First we will calculate the prime factors of 62857 and 62871.
Prime Factorization of 62857
Prime factors of 62857 are 239, 263. Prime factorization of 62857 in exponential form is:
62857 = 2391 × 2631
Prime Factorization of 62871
Prime factors of 62871 are 3, 19, 1103. Prime factorization of 62871 in exponential form is:
62871 = 31 × 191 × 11031
Now multiplying the highest exponent prime factors to calculate the LCM of 62857 and 62871.
LCM(62857,62871) = 2391 × 2631 × 31 × 191 × 11031
LCM(62857,62871) = 3951882447
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