What is the Least Common Multiple of 33386 and 33394?
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 33386 and 33394 is 557446042.
LCM(33386,33394) = 557446042
Least Common Multiple of 33386 and 33394 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33386 and 33394, than apply into the LCM equation.
GCF(33386,33394) = 2
LCM(33386,33394) = ( 33386 × 33394) / 2
LCM(33386,33394) = 1114892084 / 2
LCM(33386,33394) = 557446042
Least Common Multiple (LCM) of 33386 and 33394 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 33386 and 33394. First we will calculate the prime factors of 33386 and 33394.
Prime Factorization of 33386
Prime factors of 33386 are 2, 16693. Prime factorization of 33386 in exponential form is:
33386 = 21 × 166931
Prime Factorization of 33394
Prime factors of 33394 are 2, 59, 283. Prime factorization of 33394 in exponential form is:
33394 = 21 × 591 × 2831
Now multiplying the highest exponent prime factors to calculate the LCM of 33386 and 33394.
LCM(33386,33394) = 21 × 166931 × 591 × 2831
LCM(33386,33394) = 557446042
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