What is the Least Common Multiple of 43069 and 43079?
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 43069 and 43079 is 1855369451.
LCM(43069,43079) = 1855369451
Least Common Multiple of 43069 and 43079 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43069 and 43079, than apply into the LCM equation.
GCF(43069,43079) = 1
LCM(43069,43079) = ( 43069 × 43079) / 1
LCM(43069,43079) = 1855369451 / 1
LCM(43069,43079) = 1855369451
Least Common Multiple (LCM) of 43069 and 43079 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 43069 and 43079. First we will calculate the prime factors of 43069 and 43079.
Prime Factorization of 43069
Prime factors of 43069 are 13, 3313. Prime factorization of 43069 in exponential form is:
43069 = 131 × 33131
Prime Factorization of 43079
Prime factors of 43079 are 23, 1873. Prime factorization of 43079 in exponential form is:
43079 = 231 × 18731
Now multiplying the highest exponent prime factors to calculate the LCM of 43069 and 43079.
LCM(43069,43079) = 131 × 33131 × 231 × 18731
LCM(43069,43079) = 1855369451
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