What is the Least Common Multiple of 93866 and 93876?
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 93866 and 93876 is 4405882308.
LCM(93866,93876) = 4405882308
Least Common Multiple of 93866 and 93876 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93866 and 93876, than apply into the LCM equation.
GCF(93866,93876) = 2
LCM(93866,93876) = ( 93866 × 93876) / 2
LCM(93866,93876) = 8811764616 / 2
LCM(93866,93876) = 4405882308
Least Common Multiple (LCM) of 93866 and 93876 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 93866 and 93876. First we will calculate the prime factors of 93866 and 93876.
Prime Factorization of 93866
Prime factors of 93866 are 2, 46933. Prime factorization of 93866 in exponential form is:
93866 = 21 × 469331
Prime Factorization of 93876
Prime factors of 93876 are 2, 3, 7823. Prime factorization of 93876 in exponential form is:
93876 = 22 × 31 × 78231
Now multiplying the highest exponent prime factors to calculate the LCM of 93866 and 93876.
LCM(93866,93876) = 22 × 469331 × 31 × 78231
LCM(93866,93876) = 4405882308
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