What is the Least Common Multiple of 38129 and 38145?
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 38129 and 38145 is 1454430705.
LCM(38129,38145) = 1454430705
Least Common Multiple of 38129 and 38145 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38129 and 38145, than apply into the LCM equation.
GCF(38129,38145) = 1
LCM(38129,38145) = ( 38129 × 38145) / 1
LCM(38129,38145) = 1454430705 / 1
LCM(38129,38145) = 1454430705
Least Common Multiple (LCM) of 38129 and 38145 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 38129 and 38145. First we will calculate the prime factors of 38129 and 38145.
Prime Factorization of 38129
Prime factors of 38129 are 7, 13, 419. Prime factorization of 38129 in exponential form is:
38129 = 71 × 131 × 4191
Prime Factorization of 38145
Prime factors of 38145 are 3, 5, 2543. Prime factorization of 38145 in exponential form is:
38145 = 31 × 51 × 25431
Now multiplying the highest exponent prime factors to calculate the LCM of 38129 and 38145.
LCM(38129,38145) = 71 × 131 × 4191 × 31 × 51 × 25431
LCM(38129,38145) = 1454430705
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