What is the Least Common Multiple of 33113 and 33122?
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 33113 and 33122 is 1096768786.
LCM(33113,33122) = 1096768786
Least Common Multiple of 33113 and 33122 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33113 and 33122, than apply into the LCM equation.
GCF(33113,33122) = 1
LCM(33113,33122) = ( 33113 × 33122) / 1
LCM(33113,33122) = 1096768786 / 1
LCM(33113,33122) = 1096768786
Least Common Multiple (LCM) of 33113 and 33122 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 33113 and 33122. First we will calculate the prime factors of 33113 and 33122.
Prime Factorization of 33113
Prime factors of 33113 are 33113. Prime factorization of 33113 in exponential form is:
33113 = 331131
Prime Factorization of 33122
Prime factors of 33122 are 2, 16561. Prime factorization of 33122 in exponential form is:
33122 = 21 × 165611
Now multiplying the highest exponent prime factors to calculate the LCM of 33113 and 33122.
LCM(33113,33122) = 331131 × 21 × 165611
LCM(33113,33122) = 1096768786
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