What is the Least Common Multiple of 95129 and 95136?
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 95129 and 95136 is 9050192544.
LCM(95129,95136) = 9050192544
Least Common Multiple of 95129 and 95136 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95129 and 95136, than apply into the LCM equation.
GCF(95129,95136) = 1
LCM(95129,95136) = ( 95129 × 95136) / 1
LCM(95129,95136) = 9050192544 / 1
LCM(95129,95136) = 9050192544
Least Common Multiple (LCM) of 95129 and 95136 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 95129 and 95136. First we will calculate the prime factors of 95129 and 95136.
Prime Factorization of 95129
Prime factors of 95129 are 251, 379. Prime factorization of 95129 in exponential form is:
95129 = 2511 × 3791
Prime Factorization of 95136
Prime factors of 95136 are 2, 3, 991. Prime factorization of 95136 in exponential form is:
95136 = 25 × 31 × 9911
Now multiplying the highest exponent prime factors to calculate the LCM of 95129 and 95136.
LCM(95129,95136) = 2511 × 3791 × 25 × 31 × 9911
LCM(95129,95136) = 9050192544
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