What is the Least Common Multiple of 864 and 881?
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 864 and 881 is 761184.
LCM(864,881) = 761184
Least Common Multiple of 864 and 881 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 864 and 881, than apply into the LCM equation.
GCF(864,881) = 1
LCM(864,881) = ( 864 × 881) / 1
LCM(864,881) = 761184 / 1
LCM(864,881) = 761184
Least Common Multiple (LCM) of 864 and 881 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 864 and 881. First we will calculate the prime factors of 864 and 881.
Prime Factorization of 864
Prime factors of 864 are 2, 3. Prime factorization of 864 in exponential form is:
864 = 25 × 33
Prime Factorization of 881
Prime factors of 881 are 881. Prime factorization of 881 in exponential form is:
881 = 8811
Now multiplying the highest exponent prime factors to calculate the LCM of 864 and 881.
LCM(864,881) = 25 × 33 × 8811
LCM(864,881) = 761184
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