What is the Least Common Multiple of 29371 and 29391?
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 29371 and 29391 is 863243061.
LCM(29371,29391) = 863243061
Least Common Multiple of 29371 and 29391 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29371 and 29391, than apply into the LCM equation.
GCF(29371,29391) = 1
LCM(29371,29391) = ( 29371 × 29391) / 1
LCM(29371,29391) = 863243061 / 1
LCM(29371,29391) = 863243061
Least Common Multiple (LCM) of 29371 and 29391 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 29371 and 29391. First we will calculate the prime factors of 29371 and 29391.
Prime Factorization of 29371
Prime factors of 29371 are 23, 1277. Prime factorization of 29371 in exponential form is:
29371 = 231 × 12771
Prime Factorization of 29391
Prime factors of 29391 are 3, 97, 101. Prime factorization of 29391 in exponential form is:
29391 = 31 × 971 × 1011
Now multiplying the highest exponent prime factors to calculate the LCM of 29371 and 29391.
LCM(29371,29391) = 231 × 12771 × 31 × 971 × 1011
LCM(29371,29391) = 863243061
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