What is the Least Common Multiple of 65181 and 65190?
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 65181 and 65190 is 1416383130.
LCM(65181,65190) = 1416383130
Least Common Multiple of 65181 and 65190 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65181 and 65190, than apply into the LCM equation.
GCF(65181,65190) = 3
LCM(65181,65190) = ( 65181 × 65190) / 3
LCM(65181,65190) = 4249149390 / 3
LCM(65181,65190) = 1416383130
Least Common Multiple (LCM) of 65181 and 65190 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 65181 and 65190. First we will calculate the prime factors of 65181 and 65190.
Prime Factorization of 65181
Prime factors of 65181 are 3, 21727. Prime factorization of 65181 in exponential form is:
65181 = 31 × 217271
Prime Factorization of 65190
Prime factors of 65190 are 2, 3, 5, 41, 53. Prime factorization of 65190 in exponential form is:
65190 = 21 × 31 × 51 × 411 × 531
Now multiplying the highest exponent prime factors to calculate the LCM of 65181 and 65190.
LCM(65181,65190) = 31 × 217271 × 21 × 51 × 411 × 531
LCM(65181,65190) = 1416383130
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