What is the Least Common Multiple of 62853 and 62858?
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 62853 and 62858 is 3950813874.
LCM(62853,62858) = 3950813874
Least Common Multiple of 62853 and 62858 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62853 and 62858, than apply into the LCM equation.
GCF(62853,62858) = 1
LCM(62853,62858) = ( 62853 × 62858) / 1
LCM(62853,62858) = 3950813874 / 1
LCM(62853,62858) = 3950813874
Least Common Multiple (LCM) of 62853 and 62858 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 62853 and 62858. First we will calculate the prime factors of 62853 and 62858.
Prime Factorization of 62853
Prime factors of 62853 are 3, 7, 41, 73. Prime factorization of 62853 in exponential form is:
62853 = 31 × 71 × 411 × 731
Prime Factorization of 62858
Prime factors of 62858 are 2, 53, 593. Prime factorization of 62858 in exponential form is:
62858 = 21 × 531 × 5931
Now multiplying the highest exponent prime factors to calculate the LCM of 62853 and 62858.
LCM(62853,62858) = 31 × 71 × 411 × 731 × 21 × 531 × 5931
LCM(62853,62858) = 3950813874
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