What is the Least Common Multiple of 80833 and 80837?
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 80833 and 80837 is 6534297221.
LCM(80833,80837) = 6534297221
Least Common Multiple of 80833 and 80837 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80833 and 80837, than apply into the LCM equation.
GCF(80833,80837) = 1
LCM(80833,80837) = ( 80833 × 80837) / 1
LCM(80833,80837) = 6534297221 / 1
LCM(80833,80837) = 6534297221
Least Common Multiple (LCM) of 80833 and 80837 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 80833 and 80837. First we will calculate the prime factors of 80833 and 80837.
Prime Factorization of 80833
Prime factors of 80833 are 80833. Prime factorization of 80833 in exponential form is:
80833 = 808331
Prime Factorization of 80837
Prime factors of 80837 are 229, 353. Prime factorization of 80837 in exponential form is:
80837 = 2291 × 3531
Now multiplying the highest exponent prime factors to calculate the LCM of 80833 and 80837.
LCM(80833,80837) = 808331 × 2291 × 3531
LCM(80833,80837) = 6534297221
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