What is the Least Common Multiple of 47899 and 47906?
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 47899 and 47906 is 2294649494.
LCM(47899,47906) = 2294649494
Least Common Multiple of 47899 and 47906 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47899 and 47906, than apply into the LCM equation.
GCF(47899,47906) = 1
LCM(47899,47906) = ( 47899 × 47906) / 1
LCM(47899,47906) = 2294649494 / 1
LCM(47899,47906) = 2294649494
Least Common Multiple (LCM) of 47899 and 47906 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 47899 and 47906. First we will calculate the prime factors of 47899 and 47906.
Prime Factorization of 47899
Prime factors of 47899 are 19, 2521. Prime factorization of 47899 in exponential form is:
47899 = 191 × 25211
Prime Factorization of 47906
Prime factors of 47906 are 2, 17, 1409. Prime factorization of 47906 in exponential form is:
47906 = 21 × 171 × 14091
Now multiplying the highest exponent prime factors to calculate the LCM of 47899 and 47906.
LCM(47899,47906) = 191 × 25211 × 21 × 171 × 14091
LCM(47899,47906) = 2294649494
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