What is the Least Common Multiple of 93839 and 93855?
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 93839 and 93855 is 8807259345.
LCM(93839,93855) = 8807259345
Least Common Multiple of 93839 and 93855 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93839 and 93855, than apply into the LCM equation.
GCF(93839,93855) = 1
LCM(93839,93855) = ( 93839 × 93855) / 1
LCM(93839,93855) = 8807259345 / 1
LCM(93839,93855) = 8807259345
Least Common Multiple (LCM) of 93839 and 93855 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 93839 and 93855. First we will calculate the prime factors of 93839 and 93855.
Prime Factorization of 93839
Prime factors of 93839 are 107, 877. Prime factorization of 93839 in exponential form is:
93839 = 1071 × 8771
Prime Factorization of 93855
Prime factors of 93855 are 3, 5, 6257. Prime factorization of 93855 in exponential form is:
93855 = 31 × 51 × 62571
Now multiplying the highest exponent prime factors to calculate the LCM of 93839 and 93855.
LCM(93839,93855) = 1071 × 8771 × 31 × 51 × 62571
LCM(93839,93855) = 8807259345
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