What is the Least Common Multiple of 92865 and 92885?
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 92865 and 92885 is 1725153105.
LCM(92865,92885) = 1725153105
Least Common Multiple of 92865 and 92885 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92865 and 92885, than apply into the LCM equation.
GCF(92865,92885) = 5
LCM(92865,92885) = ( 92865 × 92885) / 5
LCM(92865,92885) = 8625765525 / 5
LCM(92865,92885) = 1725153105
Least Common Multiple (LCM) of 92865 and 92885 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 92865 and 92885. First we will calculate the prime factors of 92865 and 92885.
Prime Factorization of 92865
Prime factors of 92865 are 3, 5, 41, 151. Prime factorization of 92865 in exponential form is:
92865 = 31 × 51 × 411 × 1511
Prime Factorization of 92885
Prime factors of 92885 are 5, 13, 1429. Prime factorization of 92885 in exponential form is:
92885 = 51 × 131 × 14291
Now multiplying the highest exponent prime factors to calculate the LCM of 92865 and 92885.
LCM(92865,92885) = 31 × 51 × 411 × 1511 × 131 × 14291
LCM(92865,92885) = 1725153105
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