What is the Least Common Multiple of 43327 and 43347?
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 43327 and 43347 is 1878095469.
LCM(43327,43347) = 1878095469
Least Common Multiple of 43327 and 43347 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43327 and 43347, than apply into the LCM equation.
GCF(43327,43347) = 1
LCM(43327,43347) = ( 43327 × 43347) / 1
LCM(43327,43347) = 1878095469 / 1
LCM(43327,43347) = 1878095469
Least Common Multiple (LCM) of 43327 and 43347 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 43327 and 43347. First we will calculate the prime factors of 43327 and 43347.
Prime Factorization of 43327
Prime factors of 43327 are 37, 1171. Prime factorization of 43327 in exponential form is:
43327 = 371 × 11711
Prime Factorization of 43347
Prime factors of 43347 are 3, 14449. Prime factorization of 43347 in exponential form is:
43347 = 31 × 144491
Now multiplying the highest exponent prime factors to calculate the LCM of 43327 and 43347.
LCM(43327,43347) = 371 × 11711 × 31 × 144491
LCM(43327,43347) = 1878095469
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