What is the Least Common Multiple of 43853 and 43861?
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 43853 and 43861 is 1923436433.
LCM(43853,43861) = 1923436433
Least Common Multiple of 43853 and 43861 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43853 and 43861, than apply into the LCM equation.
GCF(43853,43861) = 1
LCM(43853,43861) = ( 43853 × 43861) / 1
LCM(43853,43861) = 1923436433 / 1
LCM(43853,43861) = 1923436433
Least Common Multiple (LCM) of 43853 and 43861 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 43853 and 43861. First we will calculate the prime factors of 43853 and 43861.
Prime Factorization of 43853
Prime factors of 43853 are 43853. Prime factorization of 43853 in exponential form is:
43853 = 438531
Prime Factorization of 43861
Prime factors of 43861 are 23, 1907. Prime factorization of 43861 in exponential form is:
43861 = 231 × 19071
Now multiplying the highest exponent prime factors to calculate the LCM of 43853 and 43861.
LCM(43853,43861) = 438531 × 231 × 19071
LCM(43853,43861) = 1923436433
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