What is the Least Common Multiple of 849 and 864?
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 849 and 864 is 244512.
LCM(849,864) = 244512
Least Common Multiple of 849 and 864 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 849 and 864, than apply into the LCM equation.
GCF(849,864) = 3
LCM(849,864) = ( 849 × 864) / 3
LCM(849,864) = 733536 / 3
LCM(849,864) = 244512
Least Common Multiple (LCM) of 849 and 864 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 849 and 864. First we will calculate the prime factors of 849 and 864.
Prime Factorization of 849
Prime factors of 849 are 3, 283. Prime factorization of 849 in exponential form is:
849 = 31 × 2831
Prime Factorization of 864
Prime factors of 864 are 2, 3. Prime factorization of 864 in exponential form is:
864 = 25 × 33
Now multiplying the highest exponent prime factors to calculate the LCM of 849 and 864.
LCM(849,864) = 33 × 2831 × 25
LCM(849,864) = 244512
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