What is the Least Common Multiple of 62869 and 62886?
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 62869 and 62886 is 3953579934.
LCM(62869,62886) = 3953579934
Least Common Multiple of 62869 and 62886 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62869 and 62886, than apply into the LCM equation.
GCF(62869,62886) = 1
LCM(62869,62886) = ( 62869 × 62886) / 1
LCM(62869,62886) = 3953579934 / 1
LCM(62869,62886) = 3953579934
Least Common Multiple (LCM) of 62869 and 62886 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 62869 and 62886. First we will calculate the prime factors of 62869 and 62886.
Prime Factorization of 62869
Prime factors of 62869 are 62869. Prime factorization of 62869 in exponential form is:
62869 = 628691
Prime Factorization of 62886
Prime factors of 62886 are 2, 3, 47, 223. Prime factorization of 62886 in exponential form is:
62886 = 21 × 31 × 471 × 2231
Now multiplying the highest exponent prime factors to calculate the LCM of 62869 and 62886.
LCM(62869,62886) = 628691 × 21 × 31 × 471 × 2231
LCM(62869,62886) = 3953579934
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