What is the Least Common Multiple of 21327 and 21331?
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 21327 and 21331 is 454926237.
LCM(21327,21331) = 454926237
Least Common Multiple of 21327 and 21331 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21327 and 21331, than apply into the LCM equation.
GCF(21327,21331) = 1
LCM(21327,21331) = ( 21327 × 21331) / 1
LCM(21327,21331) = 454926237 / 1
LCM(21327,21331) = 454926237
Least Common Multiple (LCM) of 21327 and 21331 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 21327 and 21331. First we will calculate the prime factors of 21327 and 21331.
Prime Factorization of 21327
Prime factors of 21327 are 3, 7109. Prime factorization of 21327 in exponential form is:
21327 = 31 × 71091
Prime Factorization of 21331
Prime factors of 21331 are 83, 257. Prime factorization of 21331 in exponential form is:
21331 = 831 × 2571
Now multiplying the highest exponent prime factors to calculate the LCM of 21327 and 21331.
LCM(21327,21331) = 31 × 71091 × 831 × 2571
LCM(21327,21331) = 454926237
Related Least Common Multiples of 21327
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Related Least Common Multiples of 21331
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