What is the Least Common Multiple of 62859 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 62859 and 62876 is 3952322484.
LCM(62859,62876) = 3952322484
Least Common Multiple of 62859 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 62859 and 62876, than apply into the LCM equation.
GCF(62859,62876) = 1
LCM(62859,62876) = ( 62859 × 62876) / 1
LCM(62859,62876) = 3952322484 / 1
LCM(62859,62876) = 3952322484
Least Common Multiple (LCM) of 62859 and 62876 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 62859 and 62876. First we will calculate the prime factors of 62859 and 62876.
Prime Factorization of 62859
Prime factors of 62859 are 3, 23, 911. Prime factorization of 62859 in exponential form is:
62859 = 31 × 231 × 9111
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 62859 and 62876.
LCM(62859,62876) = 31 × 231 × 9111 × 22 × 111 × 14291
LCM(62859,62876) = 3952322484
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