What is the Least Common Multiple of 33303 and 33312?
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 33303 and 33312 is 369796512.
LCM(33303,33312) = 369796512
Least Common Multiple of 33303 and 33312 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33303 and 33312, than apply into the LCM equation.
GCF(33303,33312) = 3
LCM(33303,33312) = ( 33303 × 33312) / 3
LCM(33303,33312) = 1109389536 / 3
LCM(33303,33312) = 369796512
Least Common Multiple (LCM) of 33303 and 33312 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 33303 and 33312. First we will calculate the prime factors of 33303 and 33312.
Prime Factorization of 33303
Prime factors of 33303 are 3, 17, 653. Prime factorization of 33303 in exponential form is:
33303 = 31 × 171 × 6531
Prime Factorization of 33312
Prime factors of 33312 are 2, 3, 347. Prime factorization of 33312 in exponential form is:
33312 = 25 × 31 × 3471
Now multiplying the highest exponent prime factors to calculate the LCM of 33303 and 33312.
LCM(33303,33312) = 31 × 171 × 6531 × 25 × 3471
LCM(33303,33312) = 369796512
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