What is the Least Common Multiple of 20227 and 20246?
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 20227 and 20246 is 409515842.
LCM(20227,20246) = 409515842
Least Common Multiple of 20227 and 20246 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20227 and 20246, than apply into the LCM equation.
GCF(20227,20246) = 1
LCM(20227,20246) = ( 20227 × 20246) / 1
LCM(20227,20246) = 409515842 / 1
LCM(20227,20246) = 409515842
Least Common Multiple (LCM) of 20227 and 20246 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 20227 and 20246. First we will calculate the prime factors of 20227 and 20246.
Prime Factorization of 20227
Prime factors of 20227 are 113, 179. Prime factorization of 20227 in exponential form is:
20227 = 1131 × 1791
Prime Factorization of 20246
Prime factors of 20246 are 2, 53, 191. Prime factorization of 20246 in exponential form is:
20246 = 21 × 531 × 1911
Now multiplying the highest exponent prime factors to calculate the LCM of 20227 and 20246.
LCM(20227,20246) = 1131 × 1791 × 21 × 531 × 1911
LCM(20227,20246) = 409515842
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