What is the Least Common Multiple of 33227 and 33247?
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 33227 and 33247 is 1104698069.
LCM(33227,33247) = 1104698069
Least Common Multiple of 33227 and 33247 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33227 and 33247, than apply into the LCM equation.
GCF(33227,33247) = 1
LCM(33227,33247) = ( 33227 × 33247) / 1
LCM(33227,33247) = 1104698069 / 1
LCM(33227,33247) = 1104698069
Least Common Multiple (LCM) of 33227 and 33247 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 33227 and 33247. First we will calculate the prime factors of 33227 and 33247.
Prime Factorization of 33227
Prime factors of 33227 are 149, 223. Prime factorization of 33227 in exponential form is:
33227 = 1491 × 2231
Prime Factorization of 33247
Prime factors of 33247 are 33247. Prime factorization of 33247 in exponential form is:
33247 = 332471
Now multiplying the highest exponent prime factors to calculate the LCM of 33227 and 33247.
LCM(33227,33247) = 1491 × 2231 × 332471
LCM(33227,33247) = 1104698069
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