What is the Least Common Multiple of 43861 and 43868?
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 43861 and 43868 is 1924094348.
LCM(43861,43868) = 1924094348
Least Common Multiple of 43861 and 43868 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43861 and 43868, than apply into the LCM equation.
GCF(43861,43868) = 1
LCM(43861,43868) = ( 43861 × 43868) / 1
LCM(43861,43868) = 1924094348 / 1
LCM(43861,43868) = 1924094348
Least Common Multiple (LCM) of 43861 and 43868 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 43861 and 43868. First we will calculate the prime factors of 43861 and 43868.
Prime Factorization of 43861
Prime factors of 43861 are 23, 1907. Prime factorization of 43861 in exponential form is:
43861 = 231 × 19071
Prime Factorization of 43868
Prime factors of 43868 are 2, 11, 997. Prime factorization of 43868 in exponential form is:
43868 = 22 × 111 × 9971
Now multiplying the highest exponent prime factors to calculate the LCM of 43861 and 43868.
LCM(43861,43868) = 231 × 19071 × 22 × 111 × 9971
LCM(43861,43868) = 1924094348
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