What is the Least Common Multiple of 33221 and 33241?
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 33221 and 33241 is 1104299261.
LCM(33221,33241) = 1104299261
Least Common Multiple of 33221 and 33241 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33221 and 33241, than apply into the LCM equation.
GCF(33221,33241) = 1
LCM(33221,33241) = ( 33221 × 33241) / 1
LCM(33221,33241) = 1104299261 / 1
LCM(33221,33241) = 1104299261
Least Common Multiple (LCM) of 33221 and 33241 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 33221 and 33241. First we will calculate the prime factors of 33221 and 33241.
Prime Factorization of 33221
Prime factors of 33221 are 139, 239. Prime factorization of 33221 in exponential form is:
33221 = 1391 × 2391
Prime Factorization of 33241
Prime factors of 33241 are 13, 2557. Prime factorization of 33241 in exponential form is:
33241 = 131 × 25571
Now multiplying the highest exponent prime factors to calculate the LCM of 33221 and 33241.
LCM(33221,33241) = 1391 × 2391 × 131 × 25571
LCM(33221,33241) = 1104299261
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