What is the Least Common Multiple of 43836 and 43855?
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 43836 and 43855 is 1922427780.
LCM(43836,43855) = 1922427780
Least Common Multiple of 43836 and 43855 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43836 and 43855, than apply into the LCM equation.
GCF(43836,43855) = 1
LCM(43836,43855) = ( 43836 × 43855) / 1
LCM(43836,43855) = 1922427780 / 1
LCM(43836,43855) = 1922427780
Least Common Multiple (LCM) of 43836 and 43855 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 43836 and 43855. First we will calculate the prime factors of 43836 and 43855.
Prime Factorization of 43836
Prime factors of 43836 are 2, 3, 13, 281. Prime factorization of 43836 in exponential form is:
43836 = 22 × 31 × 131 × 2811
Prime Factorization of 43855
Prime factors of 43855 are 5, 7, 179. Prime factorization of 43855 in exponential form is:
43855 = 51 × 72 × 1791
Now multiplying the highest exponent prime factors to calculate the LCM of 43836 and 43855.
LCM(43836,43855) = 22 × 31 × 131 × 2811 × 51 × 72 × 1791
LCM(43836,43855) = 1922427780
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