What is the Least Common Multiple of 47581 and 47585?
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 47581 and 47585 is 2264141885.
LCM(47581,47585) = 2264141885
Least Common Multiple of 47581 and 47585 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47581 and 47585, than apply into the LCM equation.
GCF(47581,47585) = 1
LCM(47581,47585) = ( 47581 × 47585) / 1
LCM(47581,47585) = 2264141885 / 1
LCM(47581,47585) = 2264141885
Least Common Multiple (LCM) of 47581 and 47585 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 47581 and 47585. First we will calculate the prime factors of 47581 and 47585.
Prime Factorization of 47581
Prime factors of 47581 are 47581. Prime factorization of 47581 in exponential form is:
47581 = 475811
Prime Factorization of 47585
Prime factors of 47585 are 5, 31, 307. Prime factorization of 47585 in exponential form is:
47585 = 51 × 311 × 3071
Now multiplying the highest exponent prime factors to calculate the LCM of 47581 and 47585.
LCM(47581,47585) = 475811 × 51 × 311 × 3071
LCM(47581,47585) = 2264141885
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