What is the Least Common Multiple of 43433 and 43445?
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 43433 and 43445 is 1886946685.
LCM(43433,43445) = 1886946685
Least Common Multiple of 43433 and 43445 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43433 and 43445, than apply into the LCM equation.
GCF(43433,43445) = 1
LCM(43433,43445) = ( 43433 × 43445) / 1
LCM(43433,43445) = 1886946685 / 1
LCM(43433,43445) = 1886946685
Least Common Multiple (LCM) of 43433 and 43445 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 43433 and 43445. First we will calculate the prime factors of 43433 and 43445.
Prime Factorization of 43433
Prime factors of 43433 are 13, 257. Prime factorization of 43433 in exponential form is:
43433 = 132 × 2571
Prime Factorization of 43445
Prime factors of 43445 are 5, 8689. Prime factorization of 43445 in exponential form is:
43445 = 51 × 86891
Now multiplying the highest exponent prime factors to calculate the LCM of 43433 and 43445.
LCM(43433,43445) = 132 × 2571 × 51 × 86891
LCM(43433,43445) = 1886946685
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