What is the Least Common Multiple of 33798 and 33808?
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 33798 and 33808 is 571321392.
LCM(33798,33808) = 571321392
Least Common Multiple of 33798 and 33808 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33798 and 33808, than apply into the LCM equation.
GCF(33798,33808) = 2
LCM(33798,33808) = ( 33798 × 33808) / 2
LCM(33798,33808) = 1142642784 / 2
LCM(33798,33808) = 571321392
Least Common Multiple (LCM) of 33798 and 33808 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 33798 and 33808. First we will calculate the prime factors of 33798 and 33808.
Prime Factorization of 33798
Prime factors of 33798 are 2, 3, 43, 131. Prime factorization of 33798 in exponential form is:
33798 = 21 × 31 × 431 × 1311
Prime Factorization of 33808
Prime factors of 33808 are 2, 2113. Prime factorization of 33808 in exponential form is:
33808 = 24 × 21131
Now multiplying the highest exponent prime factors to calculate the LCM of 33798 and 33808.
LCM(33798,33808) = 24 × 31 × 431 × 1311 × 21131
LCM(33798,33808) = 571321392
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