What is the Least Common Multiple of 43905 and 43913?
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 43905 and 43913 is 1928000265.
LCM(43905,43913) = 1928000265
Least Common Multiple of 43905 and 43913 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43905 and 43913, than apply into the LCM equation.
GCF(43905,43913) = 1
LCM(43905,43913) = ( 43905 × 43913) / 1
LCM(43905,43913) = 1928000265 / 1
LCM(43905,43913) = 1928000265
Least Common Multiple (LCM) of 43905 and 43913 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 43905 and 43913. First we will calculate the prime factors of 43905 and 43913.
Prime Factorization of 43905
Prime factors of 43905 are 3, 5, 2927. Prime factorization of 43905 in exponential form is:
43905 = 31 × 51 × 29271
Prime Factorization of 43913
Prime factors of 43913 are 43913. Prime factorization of 43913 in exponential form is:
43913 = 439131
Now multiplying the highest exponent prime factors to calculate the LCM of 43905 and 43913.
LCM(43905,43913) = 31 × 51 × 29271 × 439131
LCM(43905,43913) = 1928000265
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