What is the Least Common Multiple of 43339 and 43351?
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 43339 and 43351 is 1878788989.
LCM(43339,43351) = 1878788989
Least Common Multiple of 43339 and 43351 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43339 and 43351, than apply into the LCM equation.
GCF(43339,43351) = 1
LCM(43339,43351) = ( 43339 × 43351) / 1
LCM(43339,43351) = 1878788989 / 1
LCM(43339,43351) = 1878788989
Least Common Multiple (LCM) of 43339 and 43351 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 43339 and 43351. First we will calculate the prime factors of 43339 and 43351.
Prime Factorization of 43339
Prime factors of 43339 are 19, 2281. Prime factorization of 43339 in exponential form is:
43339 = 191 × 22811
Prime Factorization of 43351
Prime factors of 43351 are 7, 11, 563. Prime factorization of 43351 in exponential form is:
43351 = 71 × 111 × 5631
Now multiplying the highest exponent prime factors to calculate the LCM of 43339 and 43351.
LCM(43339,43351) = 191 × 22811 × 71 × 111 × 5631
LCM(43339,43351) = 1878788989
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