What is the Least Common Multiple of 92795 and 92804?
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 92795 and 92804 is 8611747180.
LCM(92795,92804) = 8611747180
Least Common Multiple of 92795 and 92804 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92795 and 92804, than apply into the LCM equation.
GCF(92795,92804) = 1
LCM(92795,92804) = ( 92795 × 92804) / 1
LCM(92795,92804) = 8611747180 / 1
LCM(92795,92804) = 8611747180
Least Common Multiple (LCM) of 92795 and 92804 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 92795 and 92804. First we will calculate the prime factors of 92795 and 92804.
Prime Factorization of 92795
Prime factors of 92795 are 5, 67, 277. Prime factorization of 92795 in exponential form is:
92795 = 51 × 671 × 2771
Prime Factorization of 92804
Prime factors of 92804 are 2, 23201. Prime factorization of 92804 in exponential form is:
92804 = 22 × 232011
Now multiplying the highest exponent prime factors to calculate the LCM of 92795 and 92804.
LCM(92795,92804) = 51 × 671 × 2771 × 22 × 232011
LCM(92795,92804) = 8611747180
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