What is the Least Common Multiple of 93846 and 93866?
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 93846 and 93866 is 4404474318.
LCM(93846,93866) = 4404474318
Least Common Multiple of 93846 and 93866 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93846 and 93866, than apply into the LCM equation.
GCF(93846,93866) = 2
LCM(93846,93866) = ( 93846 × 93866) / 2
LCM(93846,93866) = 8808948636 / 2
LCM(93846,93866) = 4404474318
Least Common Multiple (LCM) of 93846 and 93866 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 93846 and 93866. First we will calculate the prime factors of 93846 and 93866.
Prime Factorization of 93846
Prime factors of 93846 are 2, 3, 15641. Prime factorization of 93846 in exponential form is:
93846 = 21 × 31 × 156411
Prime Factorization of 93866
Prime factors of 93866 are 2, 46933. Prime factorization of 93866 in exponential form is:
93866 = 21 × 469331
Now multiplying the highest exponent prime factors to calculate the LCM of 93846 and 93866.
LCM(93846,93866) = 21 × 31 × 156411 × 469331
LCM(93846,93866) = 4404474318
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