What is the Least Common Multiple of 43150 and 43161?
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 43150 and 43161 is 1862397150.
LCM(43150,43161) = 1862397150
Least Common Multiple of 43150 and 43161 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43150 and 43161, than apply into the LCM equation.
GCF(43150,43161) = 1
LCM(43150,43161) = ( 43150 × 43161) / 1
LCM(43150,43161) = 1862397150 / 1
LCM(43150,43161) = 1862397150
Least Common Multiple (LCM) of 43150 and 43161 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 43150 and 43161. First we will calculate the prime factors of 43150 and 43161.
Prime Factorization of 43150
Prime factors of 43150 are 2, 5, 863. Prime factorization of 43150 in exponential form is:
43150 = 21 × 52 × 8631
Prime Factorization of 43161
Prime factors of 43161 are 3, 14387. Prime factorization of 43161 in exponential form is:
43161 = 31 × 143871
Now multiplying the highest exponent prime factors to calculate the LCM of 43150 and 43161.
LCM(43150,43161) = 21 × 52 × 8631 × 31 × 143871
LCM(43150,43161) = 1862397150
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