What is the Least Common Multiple of 58855 and 58859?
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 58855 and 58859 is 3464146445.
LCM(58855,58859) = 3464146445
Least Common Multiple of 58855 and 58859 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58855 and 58859, than apply into the LCM equation.
GCF(58855,58859) = 1
LCM(58855,58859) = ( 58855 × 58859) / 1
LCM(58855,58859) = 3464146445 / 1
LCM(58855,58859) = 3464146445
Least Common Multiple (LCM) of 58855 and 58859 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 58855 and 58859. First we will calculate the prime factors of 58855 and 58859.
Prime Factorization of 58855
Prime factors of 58855 are 5, 79, 149. Prime factorization of 58855 in exponential form is:
58855 = 51 × 791 × 1491
Prime Factorization of 58859
Prime factors of 58859 are 71, 829. Prime factorization of 58859 in exponential form is:
58859 = 711 × 8291
Now multiplying the highest exponent prime factors to calculate the LCM of 58855 and 58859.
LCM(58855,58859) = 51 × 791 × 1491 × 711 × 8291
LCM(58855,58859) = 3464146445
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