What is the Least Common Multiple of 95067 and 95081?
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 95067 and 95081 is 1291295061.
LCM(95067,95081) = 1291295061
Least Common Multiple of 95067 and 95081 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95067 and 95081, than apply into the LCM equation.
GCF(95067,95081) = 7
LCM(95067,95081) = ( 95067 × 95081) / 7
LCM(95067,95081) = 9039065427 / 7
LCM(95067,95081) = 1291295061
Least Common Multiple (LCM) of 95067 and 95081 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 95067 and 95081. First we will calculate the prime factors of 95067 and 95081.
Prime Factorization of 95067
Prime factors of 95067 are 3, 7, 503. Prime factorization of 95067 in exponential form is:
95067 = 33 × 71 × 5031
Prime Factorization of 95081
Prime factors of 95081 are 7, 17, 47. Prime factorization of 95081 in exponential form is:
95081 = 71 × 172 × 471
Now multiplying the highest exponent prime factors to calculate the LCM of 95067 and 95081.
LCM(95067,95081) = 33 × 71 × 5031 × 172 × 471
LCM(95067,95081) = 1291295061
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