What is the Least Common Multiple of 92856 and 92865?
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 92856 and 92865 is 2874357480.
LCM(92856,92865) = 2874357480
Least Common Multiple of 92856 and 92865 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92856 and 92865, than apply into the LCM equation.
GCF(92856,92865) = 3
LCM(92856,92865) = ( 92856 × 92865) / 3
LCM(92856,92865) = 8623072440 / 3
LCM(92856,92865) = 2874357480
Least Common Multiple (LCM) of 92856 and 92865 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 92856 and 92865. First we will calculate the prime factors of 92856 and 92865.
Prime Factorization of 92856
Prime factors of 92856 are 2, 3, 53, 73. Prime factorization of 92856 in exponential form is:
92856 = 23 × 31 × 531 × 731
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
Now multiplying the highest exponent prime factors to calculate the LCM of 92856 and 92865.
LCM(92856,92865) = 23 × 31 × 531 × 731 × 51 × 411 × 1511
LCM(92856,92865) = 2874357480
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