What is the Least Common Multiple of 58209 and 58214?
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 58209 and 58214 is 3388578726.
LCM(58209,58214) = 3388578726
Least Common Multiple of 58209 and 58214 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58209 and 58214, than apply into the LCM equation.
GCF(58209,58214) = 1
LCM(58209,58214) = ( 58209 × 58214) / 1
LCM(58209,58214) = 3388578726 / 1
LCM(58209,58214) = 3388578726
Least Common Multiple (LCM) of 58209 and 58214 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 58209 and 58214. First we will calculate the prime factors of 58209 and 58214.
Prime Factorization of 58209
Prime factors of 58209 are 3, 19403. Prime factorization of 58209 in exponential form is:
58209 = 31 × 194031
Prime Factorization of 58214
Prime factors of 58214 are 2, 13, 2239. Prime factorization of 58214 in exponential form is:
58214 = 21 × 131 × 22391
Now multiplying the highest exponent prime factors to calculate the LCM of 58209 and 58214.
LCM(58209,58214) = 31 × 194031 × 21 × 131 × 22391
LCM(58209,58214) = 3388578726
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