What is the Least Common Multiple of 33410 and 33421?
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 33410 and 33421 is 1116595610.
LCM(33410,33421) = 1116595610
Least Common Multiple of 33410 and 33421 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33410 and 33421, than apply into the LCM equation.
GCF(33410,33421) = 1
LCM(33410,33421) = ( 33410 × 33421) / 1
LCM(33410,33421) = 1116595610 / 1
LCM(33410,33421) = 1116595610
Least Common Multiple (LCM) of 33410 and 33421 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 33410 and 33421. First we will calculate the prime factors of 33410 and 33421.
Prime Factorization of 33410
Prime factors of 33410 are 2, 5, 13, 257. Prime factorization of 33410 in exponential form is:
33410 = 21 × 51 × 131 × 2571
Prime Factorization of 33421
Prime factors of 33421 are 19, 1759. Prime factorization of 33421 in exponential form is:
33421 = 191 × 17591
Now multiplying the highest exponent prime factors to calculate the LCM of 33410 and 33421.
LCM(33410,33421) = 21 × 51 × 131 × 2571 × 191 × 17591
LCM(33410,33421) = 1116595610
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