What is the Least Common Multiple of 20210 and 20227?
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 20210 and 20227 is 408787670.
LCM(20210,20227) = 408787670
Least Common Multiple of 20210 and 20227 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20210 and 20227, than apply into the LCM equation.
GCF(20210,20227) = 1
LCM(20210,20227) = ( 20210 × 20227) / 1
LCM(20210,20227) = 408787670 / 1
LCM(20210,20227) = 408787670
Least Common Multiple (LCM) of 20210 and 20227 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 20210 and 20227. First we will calculate the prime factors of 20210 and 20227.
Prime Factorization of 20210
Prime factors of 20210 are 2, 5, 43, 47. Prime factorization of 20210 in exponential form is:
20210 = 21 × 51 × 431 × 471
Prime Factorization of 20227
Prime factors of 20227 are 113, 179. Prime factorization of 20227 in exponential form is:
20227 = 1131 × 1791
Now multiplying the highest exponent prime factors to calculate the LCM of 20210 and 20227.
LCM(20210,20227) = 21 × 51 × 431 × 471 × 1131 × 1791
LCM(20210,20227) = 408787670
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