What is the Least Common Multiple of 92848 and 92866?
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 92848 and 92866 is 4311211184.
LCM(92848,92866) = 4311211184
Least Common Multiple of 92848 and 92866 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92848 and 92866, than apply into the LCM equation.
GCF(92848,92866) = 2
LCM(92848,92866) = ( 92848 × 92866) / 2
LCM(92848,92866) = 8622422368 / 2
LCM(92848,92866) = 4311211184
Least Common Multiple (LCM) of 92848 and 92866 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 92848 and 92866. First we will calculate the prime factors of 92848 and 92866.
Prime Factorization of 92848
Prime factors of 92848 are 2, 7, 829. Prime factorization of 92848 in exponential form is:
92848 = 24 × 71 × 8291
Prime Factorization of 92866
Prime factors of 92866 are 2, 59, 787. Prime factorization of 92866 in exponential form is:
92866 = 21 × 591 × 7871
Now multiplying the highest exponent prime factors to calculate the LCM of 92848 and 92866.
LCM(92848,92866) = 24 × 71 × 8291 × 591 × 7871
LCM(92848,92866) = 4311211184
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