What is the Least Common Multiple of 80383 and 80387?
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 80387 is 6461748221.
LCM(80383,80387) = 6461748221
Least Common Multiple of 80383 and 80387 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 80387, than apply into the LCM equation.
GCF(80383,80387) = 1
LCM(80383,80387) = ( 80383 × 80387) / 1
LCM(80383,80387) = 6461748221 / 1
LCM(80383,80387) = 6461748221
Least Common Multiple (LCM) of 80383 and 80387 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 80383 and 80387. First we will calculate the prime factors of 80383 and 80387.
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 80387
Prime factors of 80387 are 80387. Prime factorization of 80387 in exponential form is:
80387 = 803871
Now multiplying the highest exponent prime factors to calculate the LCM of 80383 and 80387.
LCM(80383,80387) = 311 × 25931 × 803871
LCM(80383,80387) = 6461748221
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