What is the Least Common Multiple of 80371 and 80391?
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 80371 and 80391 is 6461105061.
LCM(80371,80391) = 6461105061
Least Common Multiple of 80371 and 80391 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80371 and 80391, than apply into the LCM equation.
GCF(80371,80391) = 1
LCM(80371,80391) = ( 80371 × 80391) / 1
LCM(80371,80391) = 6461105061 / 1
LCM(80371,80391) = 6461105061
Least Common Multiple (LCM) of 80371 and 80391 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 80371 and 80391. First we will calculate the prime factors of 80371 and 80391.
Prime Factorization of 80371
Prime factors of 80371 are 179, 449. Prime factorization of 80371 in exponential form is:
80371 = 1791 × 4491
Prime Factorization of 80391
Prime factors of 80391 are 3, 127, 211. Prime factorization of 80391 in exponential form is:
80391 = 31 × 1271 × 2111
Now multiplying the highest exponent prime factors to calculate the LCM of 80371 and 80391.
LCM(80371,80391) = 1791 × 4491 × 31 × 1271 × 2111
LCM(80371,80391) = 6461105061
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