What is the Least Common Multiple of 55443 and 55447?
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 55443 and 55447 is 3074148021.
LCM(55443,55447) = 3074148021
Least Common Multiple of 55443 and 55447 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55443 and 55447, than apply into the LCM equation.
GCF(55443,55447) = 1
LCM(55443,55447) = ( 55443 × 55447) / 1
LCM(55443,55447) = 3074148021 / 1
LCM(55443,55447) = 3074148021
Least Common Multiple (LCM) of 55443 and 55447 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 55443 and 55447. First we will calculate the prime factors of 55443 and 55447.
Prime Factorization of 55443
Prime factors of 55443 are 3, 18481. Prime factorization of 55443 in exponential form is:
55443 = 31 × 184811
Prime Factorization of 55447
Prime factors of 55447 are 7, 89. Prime factorization of 55447 in exponential form is:
55447 = 71 × 892
Now multiplying the highest exponent prime factors to calculate the LCM of 55443 and 55447.
LCM(55443,55447) = 31 × 184811 × 71 × 892
LCM(55443,55447) = 3074148021
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