What is the Least Common Multiple of 43907 and 43911?
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 43907 and 43911 is 1928000277.
LCM(43907,43911) = 1928000277
Least Common Multiple of 43907 and 43911 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43907 and 43911, than apply into the LCM equation.
GCF(43907,43911) = 1
LCM(43907,43911) = ( 43907 × 43911) / 1
LCM(43907,43911) = 1928000277 / 1
LCM(43907,43911) = 1928000277
Least Common Multiple (LCM) of 43907 and 43911 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 43907 and 43911. First we will calculate the prime factors of 43907 and 43911.
Prime Factorization of 43907
Prime factors of 43907 are 23, 83. Prime factorization of 43907 in exponential form is:
43907 = 232 × 831
Prime Factorization of 43911
Prime factors of 43911 are 3, 7, 17, 41. Prime factorization of 43911 in exponential form is:
43911 = 32 × 71 × 171 × 411
Now multiplying the highest exponent prime factors to calculate the LCM of 43907 and 43911.
LCM(43907,43911) = 232 × 831 × 32 × 71 × 171 × 411
LCM(43907,43911) = 1928000277
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