What is the Least Common Multiple of 95163 and 95178?
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 95163 and 95178 is 3019141338.
LCM(95163,95178) = 3019141338
Least Common Multiple of 95163 and 95178 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95163 and 95178, than apply into the LCM equation.
GCF(95163,95178) = 3
LCM(95163,95178) = ( 95163 × 95178) / 3
LCM(95163,95178) = 9057424014 / 3
LCM(95163,95178) = 3019141338
Least Common Multiple (LCM) of 95163 and 95178 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 95163 and 95178. First we will calculate the prime factors of 95163 and 95178.
Prime Factorization of 95163
Prime factors of 95163 are 3, 31721. Prime factorization of 95163 in exponential form is:
95163 = 31 × 317211
Prime Factorization of 95178
Prime factors of 95178 are 2, 3, 29, 547. Prime factorization of 95178 in exponential form is:
95178 = 21 × 31 × 291 × 5471
Now multiplying the highest exponent prime factors to calculate the LCM of 95163 and 95178.
LCM(95163,95178) = 31 × 317211 × 21 × 291 × 5471
LCM(95163,95178) = 3019141338
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