What is the Least Common Multiple of 65856 and 65876?
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 65856 and 65876 is 1084582464.
LCM(65856,65876) = 1084582464
Least Common Multiple of 65856 and 65876 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65856 and 65876, than apply into the LCM equation.
GCF(65856,65876) = 4
LCM(65856,65876) = ( 65856 × 65876) / 4
LCM(65856,65876) = 4338329856 / 4
LCM(65856,65876) = 1084582464
Least Common Multiple (LCM) of 65856 and 65876 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 65856 and 65876. First we will calculate the prime factors of 65856 and 65876.
Prime Factorization of 65856
Prime factors of 65856 are 2, 3, 7. Prime factorization of 65856 in exponential form is:
65856 = 26 × 31 × 73
Prime Factorization of 65876
Prime factors of 65876 are 2, 43, 383. Prime factorization of 65876 in exponential form is:
65876 = 22 × 431 × 3831
Now multiplying the highest exponent prime factors to calculate the LCM of 65856 and 65876.
LCM(65856,65876) = 26 × 31 × 73 × 431 × 3831
LCM(65856,65876) = 1084582464
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