What is the Least Common Multiple of 95582 and 95602?
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 95582 and 95602 is 4568915182.
LCM(95582,95602) = 4568915182
Least Common Multiple of 95582 and 95602 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95582 and 95602, than apply into the LCM equation.
GCF(95582,95602) = 2
LCM(95582,95602) = ( 95582 × 95602) / 2
LCM(95582,95602) = 9137830364 / 2
LCM(95582,95602) = 4568915182
Least Common Multiple (LCM) of 95582 and 95602 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 95582 and 95602. First we will calculate the prime factors of 95582 and 95602.
Prime Factorization of 95582
Prime factors of 95582 are 2, 47791. Prime factorization of 95582 in exponential form is:
95582 = 21 × 477911
Prime Factorization of 95602
Prime factors of 95602 are 2, 13, 3677. Prime factorization of 95602 in exponential form is:
95602 = 21 × 131 × 36771
Now multiplying the highest exponent prime factors to calculate the LCM of 95582 and 95602.
LCM(95582,95602) = 21 × 477911 × 131 × 36771
LCM(95582,95602) = 4568915182
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