What is the Least Common Multiple of 82933 and 82941?
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 82933 and 82941 is 6878545953.
LCM(82933,82941) = 6878545953
Least Common Multiple of 82933 and 82941 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82933 and 82941, than apply into the LCM equation.
GCF(82933,82941) = 1
LCM(82933,82941) = ( 82933 × 82941) / 1
LCM(82933,82941) = 6878545953 / 1
LCM(82933,82941) = 6878545953
Least Common Multiple (LCM) of 82933 and 82941 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 82933 and 82941. First we will calculate the prime factors of 82933 and 82941.
Prime Factorization of 82933
Prime factors of 82933 are 239, 347. Prime factorization of 82933 in exponential form is:
82933 = 2391 × 3471
Prime Factorization of 82941
Prime factors of 82941 are 3, 27647. Prime factorization of 82941 in exponential form is:
82941 = 31 × 276471
Now multiplying the highest exponent prime factors to calculate the LCM of 82933 and 82941.
LCM(82933,82941) = 2391 × 3471 × 31 × 276471
LCM(82933,82941) = 6878545953
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