What is the Least Common Multiple of 58850 and 58858?
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 58850 and 58858 is 1731896650.
LCM(58850,58858) = 1731896650
Least Common Multiple of 58850 and 58858 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58850 and 58858, than apply into the LCM equation.
GCF(58850,58858) = 2
LCM(58850,58858) = ( 58850 × 58858) / 2
LCM(58850,58858) = 3463793300 / 2
LCM(58850,58858) = 1731896650
Least Common Multiple (LCM) of 58850 and 58858 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 58850 and 58858. First we will calculate the prime factors of 58850 and 58858.
Prime Factorization of 58850
Prime factors of 58850 are 2, 5, 11, 107. Prime factorization of 58850 in exponential form is:
58850 = 21 × 52 × 111 × 1071
Prime Factorization of 58858
Prime factors of 58858 are 2, 29429. Prime factorization of 58858 in exponential form is:
58858 = 21 × 294291
Now multiplying the highest exponent prime factors to calculate the LCM of 58850 and 58858.
LCM(58850,58858) = 21 × 52 × 111 × 1071 × 294291
LCM(58850,58858) = 1731896650
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