What is the Least Common Multiple of 43367 and 43385?
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 43367 and 43385 is 1881477295.
LCM(43367,43385) = 1881477295
Least Common Multiple of 43367 and 43385 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43367 and 43385, than apply into the LCM equation.
GCF(43367,43385) = 1
LCM(43367,43385) = ( 43367 × 43385) / 1
LCM(43367,43385) = 1881477295 / 1
LCM(43367,43385) = 1881477295
Least Common Multiple (LCM) of 43367 and 43385 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 43367 and 43385. First we will calculate the prime factors of 43367 and 43385.
Prime Factorization of 43367
Prime factors of 43367 are 17, 2551. Prime factorization of 43367 in exponential form is:
43367 = 171 × 25511
Prime Factorization of 43385
Prime factors of 43385 are 5, 8677. Prime factorization of 43385 in exponential form is:
43385 = 51 × 86771
Now multiplying the highest exponent prime factors to calculate the LCM of 43367 and 43385.
LCM(43367,43385) = 171 × 25511 × 51 × 86771
LCM(43367,43385) = 1881477295
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