What is the Least Common Multiple of 80383 and 80403?
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 80383 and 80403 is 6463034349.
LCM(80383,80403) = 6463034349
Least Common Multiple of 80383 and 80403 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80383 and 80403, than apply into the LCM equation.
GCF(80383,80403) = 1
LCM(80383,80403) = ( 80383 × 80403) / 1
LCM(80383,80403) = 6463034349 / 1
LCM(80383,80403) = 6463034349
Least Common Multiple (LCM) of 80383 and 80403 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 80383 and 80403. First we will calculate the prime factors of 80383 and 80403.
Prime Factorization of 80383
Prime factors of 80383 are 31, 2593. Prime factorization of 80383 in exponential form is:
80383 = 311 × 25931
Prime Factorization of 80403
Prime factors of 80403 are 3, 26801. Prime factorization of 80403 in exponential form is:
80403 = 31 × 268011
Now multiplying the highest exponent prime factors to calculate the LCM of 80383 and 80403.
LCM(80383,80403) = 311 × 25931 × 31 × 268011
LCM(80383,80403) = 6463034349
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