What is the Least Common Multiple of 29386 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 29386 and 29391 is 863683926.
LCM(29386,29391) = 863683926
Least Common Multiple of 29386 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 29386 and 29391, than apply into the LCM equation.
GCF(29386,29391) = 1
LCM(29386,29391) = ( 29386 × 29391) / 1
LCM(29386,29391) = 863683926 / 1
LCM(29386,29391) = 863683926
Least Common Multiple (LCM) of 29386 and 29391 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 29386 and 29391. First we will calculate the prime factors of 29386 and 29391.
Prime Factorization of 29386
Prime factors of 29386 are 2, 7, 2099. Prime factorization of 29386 in exponential form is:
29386 = 21 × 71 × 20991
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 29386 and 29391.
LCM(29386,29391) = 21 × 71 × 20991 × 31 × 971 × 1011
LCM(29386,29391) = 863683926
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