What is the Least Common Multiple of 95167 and 95175?
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 95167 and 95175 is 9057519225.
LCM(95167,95175) = 9057519225
Least Common Multiple of 95167 and 95175 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95167 and 95175, than apply into the LCM equation.
GCF(95167,95175) = 1
LCM(95167,95175) = ( 95167 × 95175) / 1
LCM(95167,95175) = 9057519225 / 1
LCM(95167,95175) = 9057519225
Least Common Multiple (LCM) of 95167 and 95175 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 95167 and 95175. First we will calculate the prime factors of 95167 and 95175.
Prime Factorization of 95167
Prime factors of 95167 are 59, 1613. Prime factorization of 95167 in exponential form is:
95167 = 591 × 16131
Prime Factorization of 95175
Prime factors of 95175 are 3, 5, 47. Prime factorization of 95175 in exponential form is:
95175 = 34 × 52 × 471
Now multiplying the highest exponent prime factors to calculate the LCM of 95167 and 95175.
LCM(95167,95175) = 591 × 16131 × 34 × 52 × 471
LCM(95167,95175) = 9057519225
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