What is the Least Common Multiple of 29381 and 29386?
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 29381 and 29386 is 863390066.
LCM(29381,29386) = 863390066
Least Common Multiple of 29381 and 29386 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29381 and 29386, than apply into the LCM equation.
GCF(29381,29386) = 1
LCM(29381,29386) = ( 29381 × 29386) / 1
LCM(29381,29386) = 863390066 / 1
LCM(29381,29386) = 863390066
Least Common Multiple (LCM) of 29381 and 29386 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 29381 and 29386. First we will calculate the prime factors of 29381 and 29386.
Prime Factorization of 29381
Prime factors of 29381 are 11, 2671. Prime factorization of 29381 in exponential form is:
29381 = 111 × 26711
Prime Factorization of 29386
Prime factors of 29386 are 2, 7, 2099. Prime factorization of 29386 in exponential form is:
29386 = 21 × 71 × 20991
Now multiplying the highest exponent prime factors to calculate the LCM of 29381 and 29386.
LCM(29381,29386) = 111 × 26711 × 21 × 71 × 20991
LCM(29381,29386) = 863390066
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