What is the Least Common Multiple of 92882 and 92898?
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 92882 and 92898 is 4314276018.
LCM(92882,92898) = 4314276018
Least Common Multiple of 92882 and 92898 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92882 and 92898, than apply into the LCM equation.
GCF(92882,92898) = 2
LCM(92882,92898) = ( 92882 × 92898) / 2
LCM(92882,92898) = 8628552036 / 2
LCM(92882,92898) = 4314276018
Least Common Multiple (LCM) of 92882 and 92898 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 92882 and 92898. First we will calculate the prime factors of 92882 and 92898.
Prime Factorization of 92882
Prime factors of 92882 are 2, 46441. Prime factorization of 92882 in exponential form is:
92882 = 21 × 464411
Prime Factorization of 92898
Prime factors of 92898 are 2, 3, 13, 397. Prime factorization of 92898 in exponential form is:
92898 = 21 × 32 × 131 × 3971
Now multiplying the highest exponent prime factors to calculate the LCM of 92882 and 92898.
LCM(92882,92898) = 21 × 464411 × 32 × 131 × 3971
LCM(92882,92898) = 4314276018
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