What is the Least Common Multiple of 43081 and 43091?
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 43081 and 43091 is 1856403371.
LCM(43081,43091) = 1856403371
Least Common Multiple of 43081 and 43091 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43081 and 43091, than apply into the LCM equation.
GCF(43081,43091) = 1
LCM(43081,43091) = ( 43081 × 43091) / 1
LCM(43081,43091) = 1856403371 / 1
LCM(43081,43091) = 1856403371
Least Common Multiple (LCM) of 43081 and 43091 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 43081 and 43091. First we will calculate the prime factors of 43081 and 43091.
Prime Factorization of 43081
Prime factors of 43081 are 67, 643. Prime factorization of 43081 in exponential form is:
43081 = 671 × 6431
Prime Factorization of 43091
Prime factors of 43091 are 41, 1051. Prime factorization of 43091 in exponential form is:
43091 = 411 × 10511
Now multiplying the highest exponent prime factors to calculate the LCM of 43081 and 43091.
LCM(43081,43091) = 671 × 6431 × 411 × 10511
LCM(43081,43091) = 1856403371
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