What is the Least Common Multiple of 93868 and 93887?
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 93868 and 93887 is 8812984916.
LCM(93868,93887) = 8812984916
Least Common Multiple of 93868 and 93887 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93868 and 93887, than apply into the LCM equation.
GCF(93868,93887) = 1
LCM(93868,93887) = ( 93868 × 93887) / 1
LCM(93868,93887) = 8812984916 / 1
LCM(93868,93887) = 8812984916
Least Common Multiple (LCM) of 93868 and 93887 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 93868 and 93887. First we will calculate the prime factors of 93868 and 93887.
Prime Factorization of 93868
Prime factors of 93868 are 2, 31, 757. Prime factorization of 93868 in exponential form is:
93868 = 22 × 311 × 7571
Prime Factorization of 93887
Prime factors of 93887 are 93887. Prime factorization of 93887 in exponential form is:
93887 = 938871
Now multiplying the highest exponent prime factors to calculate the LCM of 93868 and 93887.
LCM(93868,93887) = 22 × 311 × 7571 × 938871
LCM(93868,93887) = 8812984916
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