What is the Least Common Multiple of 33257 and 33270?
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 33257 and 33270 is 1106460390.
LCM(33257,33270) = 1106460390
Least Common Multiple of 33257 and 33270 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33257 and 33270, than apply into the LCM equation.
GCF(33257,33270) = 1
LCM(33257,33270) = ( 33257 × 33270) / 1
LCM(33257,33270) = 1106460390 / 1
LCM(33257,33270) = 1106460390
Least Common Multiple (LCM) of 33257 and 33270 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 33257 and 33270. First we will calculate the prime factors of 33257 and 33270.
Prime Factorization of 33257
Prime factors of 33257 are 7, 4751. Prime factorization of 33257 in exponential form is:
33257 = 71 × 47511
Prime Factorization of 33270
Prime factors of 33270 are 2, 3, 5, 1109. Prime factorization of 33270 in exponential form is:
33270 = 21 × 31 × 51 × 11091
Now multiplying the highest exponent prime factors to calculate the LCM of 33257 and 33270.
LCM(33257,33270) = 71 × 47511 × 21 × 31 × 51 × 11091
LCM(33257,33270) = 1106460390
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