What is the Least Common Multiple of 40843 and 40847?
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 40843 and 40847 is 1668314021.
LCM(40843,40847) = 1668314021
Least Common Multiple of 40843 and 40847 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40843 and 40847, than apply into the LCM equation.
GCF(40843,40847) = 1
LCM(40843,40847) = ( 40843 × 40847) / 1
LCM(40843,40847) = 1668314021 / 1
LCM(40843,40847) = 1668314021
Least Common Multiple (LCM) of 40843 and 40847 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 40843 and 40847. First we will calculate the prime factors of 40843 and 40847.
Prime Factorization of 40843
Prime factors of 40843 are 11, 47, 79. Prime factorization of 40843 in exponential form is:
40843 = 111 × 471 × 791
Prime Factorization of 40847
Prime factors of 40847 are 40847. Prime factorization of 40847 in exponential form is:
40847 = 408471
Now multiplying the highest exponent prime factors to calculate the LCM of 40843 and 40847.
LCM(40843,40847) = 111 × 471 × 791 × 408471
LCM(40843,40847) = 1668314021
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