What is the Least Common Multiple of 58797 and 58810?
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 58797 and 58810 is 3457851570.
LCM(58797,58810) = 3457851570
Least Common Multiple of 58797 and 58810 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58797 and 58810, than apply into the LCM equation.
GCF(58797,58810) = 1
LCM(58797,58810) = ( 58797 × 58810) / 1
LCM(58797,58810) = 3457851570 / 1
LCM(58797,58810) = 3457851570
Least Common Multiple (LCM) of 58797 and 58810 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 58797 and 58810. First we will calculate the prime factors of 58797 and 58810.
Prime Factorization of 58797
Prime factors of 58797 are 3, 47, 139. Prime factorization of 58797 in exponential form is:
58797 = 32 × 471 × 1391
Prime Factorization of 58810
Prime factors of 58810 are 2, 5, 5881. Prime factorization of 58810 in exponential form is:
58810 = 21 × 51 × 58811
Now multiplying the highest exponent prime factors to calculate the LCM of 58797 and 58810.
LCM(58797,58810) = 32 × 471 × 1391 × 21 × 51 × 58811
LCM(58797,58810) = 3457851570
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