What is the Least Common Multiple of 43801 and 43811?
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 43801 and 43811 is 1918965611.
LCM(43801,43811) = 1918965611
Least Common Multiple of 43801 and 43811 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43801 and 43811, than apply into the LCM equation.
GCF(43801,43811) = 1
LCM(43801,43811) = ( 43801 × 43811) / 1
LCM(43801,43811) = 1918965611 / 1
LCM(43801,43811) = 1918965611
Least Common Multiple (LCM) of 43801 and 43811 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 43801 and 43811. First we will calculate the prime factors of 43801 and 43811.
Prime Factorization of 43801
Prime factors of 43801 are 43801. Prime factorization of 43801 in exponential form is:
43801 = 438011
Prime Factorization of 43811
Prime factors of 43811 are 193, 227. Prime factorization of 43811 in exponential form is:
43811 = 1931 × 2271
Now multiplying the highest exponent prime factors to calculate the LCM of 43801 and 43811.
LCM(43801,43811) = 438011 × 1931 × 2271
LCM(43801,43811) = 1918965611
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