What is the Least Common Multiple of 93911 and 93930?
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 93911 and 93930 is 8821060230.
LCM(93911,93930) = 8821060230
Least Common Multiple of 93911 and 93930 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93911 and 93930, than apply into the LCM equation.
GCF(93911,93930) = 1
LCM(93911,93930) = ( 93911 × 93930) / 1
LCM(93911,93930) = 8821060230 / 1
LCM(93911,93930) = 8821060230
Least Common Multiple (LCM) of 93911 and 93930 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 93911 and 93930. First we will calculate the prime factors of 93911 and 93930.
Prime Factorization of 93911
Prime factors of 93911 are 93911. Prime factorization of 93911 in exponential form is:
93911 = 939111
Prime Factorization of 93930
Prime factors of 93930 are 2, 3, 5, 31, 101. Prime factorization of 93930 in exponential form is:
93930 = 21 × 31 × 51 × 311 × 1011
Now multiplying the highest exponent prime factors to calculate the LCM of 93911 and 93930.
LCM(93911,93930) = 939111 × 21 × 31 × 51 × 311 × 1011
LCM(93911,93930) = 8821060230
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