What is the Least Common Multiple of 43854 and 43863?
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 43854 and 43863 is 641189334.
LCM(43854,43863) = 641189334
Least Common Multiple of 43854 and 43863 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43854 and 43863, than apply into the LCM equation.
GCF(43854,43863) = 3
LCM(43854,43863) = ( 43854 × 43863) / 3
LCM(43854,43863) = 1923568002 / 3
LCM(43854,43863) = 641189334
Least Common Multiple (LCM) of 43854 and 43863 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 43854 and 43863. First we will calculate the prime factors of 43854 and 43863.
Prime Factorization of 43854
Prime factors of 43854 are 2, 3, 7309. Prime factorization of 43854 in exponential form is:
43854 = 21 × 31 × 73091
Prime Factorization of 43863
Prime factors of 43863 are 3, 14621. Prime factorization of 43863 in exponential form is:
43863 = 31 × 146211
Now multiplying the highest exponent prime factors to calculate the LCM of 43854 and 43863.
LCM(43854,43863) = 21 × 31 × 73091 × 146211
LCM(43854,43863) = 641189334
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