What is the Least Common Multiple of 93892 and 93911?
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 93892 and 93911 is 8817491612.
LCM(93892,93911) = 8817491612
Least Common Multiple of 93892 and 93911 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93892 and 93911, than apply into the LCM equation.
GCF(93892,93911) = 1
LCM(93892,93911) = ( 93892 × 93911) / 1
LCM(93892,93911) = 8817491612 / 1
LCM(93892,93911) = 8817491612
Least Common Multiple (LCM) of 93892 and 93911 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 93892 and 93911. First we will calculate the prime factors of 93892 and 93911.
Prime Factorization of 93892
Prime factors of 93892 are 2, 23473. Prime factorization of 93892 in exponential form is:
93892 = 22 × 234731
Prime Factorization of 93911
Prime factors of 93911 are 93911. Prime factorization of 93911 in exponential form is:
93911 = 939111
Now multiplying the highest exponent prime factors to calculate the LCM of 93892 and 93911.
LCM(93892,93911) = 22 × 234731 × 939111
LCM(93892,93911) = 8817491612
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