What is the Least Common Multiple of 21424 and 21443?
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 21424 and 21443 is 459394832.
LCM(21424,21443) = 459394832
Least Common Multiple of 21424 and 21443 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21424 and 21443, than apply into the LCM equation.
GCF(21424,21443) = 1
LCM(21424,21443) = ( 21424 × 21443) / 1
LCM(21424,21443) = 459394832 / 1
LCM(21424,21443) = 459394832
Least Common Multiple (LCM) of 21424 and 21443 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 21424 and 21443. First we will calculate the prime factors of 21424 and 21443.
Prime Factorization of 21424
Prime factors of 21424 are 2, 13, 103. Prime factorization of 21424 in exponential form is:
21424 = 24 × 131 × 1031
Prime Factorization of 21443
Prime factors of 21443 are 41, 523. Prime factorization of 21443 in exponential form is:
21443 = 411 × 5231
Now multiplying the highest exponent prime factors to calculate the LCM of 21424 and 21443.
LCM(21424,21443) = 24 × 131 × 1031 × 411 × 5231
LCM(21424,21443) = 459394832
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