What is the Least Common Multiple of 95118 and 95129?
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 95118 and 95129 is 9048480222.
LCM(95118,95129) = 9048480222
Least Common Multiple of 95118 and 95129 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95118 and 95129, than apply into the LCM equation.
GCF(95118,95129) = 1
LCM(95118,95129) = ( 95118 × 95129) / 1
LCM(95118,95129) = 9048480222 / 1
LCM(95118,95129) = 9048480222
Least Common Multiple (LCM) of 95118 and 95129 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 95118 and 95129. First we will calculate the prime factors of 95118 and 95129.
Prime Factorization of 95118
Prime factors of 95118 are 2, 3, 83, 191. Prime factorization of 95118 in exponential form is:
95118 = 21 × 31 × 831 × 1911
Prime Factorization of 95129
Prime factors of 95129 are 251, 379. Prime factorization of 95129 in exponential form is:
95129 = 2511 × 3791
Now multiplying the highest exponent prime factors to calculate the LCM of 95118 and 95129.
LCM(95118,95129) = 21 × 31 × 831 × 1911 × 2511 × 3791
LCM(95118,95129) = 9048480222
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