What is the Least Common Multiple of 11423 and 11443?
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 11423 and 11443 is 130713389.
LCM(11423,11443) = 130713389
Least Common Multiple of 11423 and 11443 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11423 and 11443, than apply into the LCM equation.
GCF(11423,11443) = 1
LCM(11423,11443) = ( 11423 × 11443) / 1
LCM(11423,11443) = 130713389 / 1
LCM(11423,11443) = 130713389
Least Common Multiple (LCM) of 11423 and 11443 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 11423 and 11443. First we will calculate the prime factors of 11423 and 11443.
Prime Factorization of 11423
Prime factors of 11423 are 11423. Prime factorization of 11423 in exponential form is:
11423 = 114231
Prime Factorization of 11443
Prime factors of 11443 are 11443. Prime factorization of 11443 in exponential form is:
11443 = 114431
Now multiplying the highest exponent prime factors to calculate the LCM of 11423 and 11443.
LCM(11423,11443) = 114231 × 114431
LCM(11423,11443) = 130713389
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