What is the Least Common Multiple of 93016 and 93022?
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 93016 and 93022 is 4326267176.
LCM(93016,93022) = 4326267176
Least Common Multiple of 93016 and 93022 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93016 and 93022, than apply into the LCM equation.
GCF(93016,93022) = 2
LCM(93016,93022) = ( 93016 × 93022) / 2
LCM(93016,93022) = 8652534352 / 2
LCM(93016,93022) = 4326267176
Least Common Multiple (LCM) of 93016 and 93022 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 93016 and 93022. First we will calculate the prime factors of 93016 and 93022.
Prime Factorization of 93016
Prime factors of 93016 are 2, 7, 11, 151. Prime factorization of 93016 in exponential form is:
93016 = 23 × 71 × 111 × 1511
Prime Factorization of 93022
Prime factors of 93022 are 2, 46511. Prime factorization of 93022 in exponential form is:
93022 = 21 × 465111
Now multiplying the highest exponent prime factors to calculate the LCM of 93016 and 93022.
LCM(93016,93022) = 23 × 71 × 111 × 1511 × 465111
LCM(93016,93022) = 4326267176
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