What is the Least Common Multiple of 92018 and 92022?
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 92018 and 92022 is 4233840198.
LCM(92018,92022) = 4233840198
Least Common Multiple of 92018 and 92022 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92018 and 92022, than apply into the LCM equation.
GCF(92018,92022) = 2
LCM(92018,92022) = ( 92018 × 92022) / 2
LCM(92018,92022) = 8467680396 / 2
LCM(92018,92022) = 4233840198
Least Common Multiple (LCM) of 92018 and 92022 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 92018 and 92022. First we will calculate the prime factors of 92018 and 92022.
Prime Factorization of 92018
Prime factors of 92018 are 2, 139, 331. Prime factorization of 92018 in exponential form is:
92018 = 21 × 1391 × 3311
Prime Factorization of 92022
Prime factors of 92022 are 2, 3, 7, 313. Prime factorization of 92022 in exponential form is:
92022 = 21 × 31 × 72 × 3131
Now multiplying the highest exponent prime factors to calculate the LCM of 92018 and 92022.
LCM(92018,92022) = 21 × 1391 × 3311 × 31 × 72 × 3131
LCM(92018,92022) = 4233840198
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