What is the Least Common Multiple of 58793 and 58806?
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 58793 and 58806 is 3457381158.
LCM(58793,58806) = 3457381158
Least Common Multiple of 58793 and 58806 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58793 and 58806, than apply into the LCM equation.
GCF(58793,58806) = 1
LCM(58793,58806) = ( 58793 × 58806) / 1
LCM(58793,58806) = 3457381158 / 1
LCM(58793,58806) = 3457381158
Least Common Multiple (LCM) of 58793 and 58806 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 58793 and 58806. First we will calculate the prime factors of 58793 and 58806.
Prime Factorization of 58793
Prime factors of 58793 are 7, 37, 227. Prime factorization of 58793 in exponential form is:
58793 = 71 × 371 × 2271
Prime Factorization of 58806
Prime factors of 58806 are 2, 3, 11. Prime factorization of 58806 in exponential form is:
58806 = 21 × 35 × 112
Now multiplying the highest exponent prime factors to calculate the LCM of 58793 and 58806.
LCM(58793,58806) = 71 × 371 × 2271 × 21 × 35 × 112
LCM(58793,58806) = 3457381158
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