What is the Least Common Multiple of 62858 and 62862?
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 62858 and 62862 is 1975689798.
LCM(62858,62862) = 1975689798
Least Common Multiple of 62858 and 62862 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62858 and 62862, than apply into the LCM equation.
GCF(62858,62862) = 2
LCM(62858,62862) = ( 62858 × 62862) / 2
LCM(62858,62862) = 3951379596 / 2
LCM(62858,62862) = 1975689798
Least Common Multiple (LCM) of 62858 and 62862 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 62858 and 62862. First we will calculate the prime factors of 62858 and 62862.
Prime Factorization of 62858
Prime factors of 62858 are 2, 53, 593. Prime factorization of 62858 in exponential form is:
62858 = 21 × 531 × 5931
Prime Factorization of 62862
Prime factors of 62862 are 2, 3, 10477. Prime factorization of 62862 in exponential form is:
62862 = 21 × 31 × 104771
Now multiplying the highest exponent prime factors to calculate the LCM of 62858 and 62862.
LCM(62858,62862) = 21 × 531 × 5931 × 31 × 104771
LCM(62858,62862) = 1975689798
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