What is the Least Common Multiple of 47420 and 47429?
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 47420 and 47429 is 2249083180.
LCM(47420,47429) = 2249083180
Least Common Multiple of 47420 and 47429 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47420 and 47429, than apply into the LCM equation.
GCF(47420,47429) = 1
LCM(47420,47429) = ( 47420 × 47429) / 1
LCM(47420,47429) = 2249083180 / 1
LCM(47420,47429) = 2249083180
Least Common Multiple (LCM) of 47420 and 47429 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 47420 and 47429. First we will calculate the prime factors of 47420 and 47429.
Prime Factorization of 47420
Prime factors of 47420 are 2, 5, 2371. Prime factorization of 47420 in exponential form is:
47420 = 22 × 51 × 23711
Prime Factorization of 47429
Prime factors of 47429 are 43, 1103. Prime factorization of 47429 in exponential form is:
47429 = 431 × 11031
Now multiplying the highest exponent prime factors to calculate the LCM of 47420 and 47429.
LCM(47420,47429) = 22 × 51 × 23711 × 431 × 11031
LCM(47420,47429) = 2249083180
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