What is the Least Common Multiple of 864 and 884?
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 884 is 190944.
LCM(864,884) = 190944
Least Common Multiple of 864 and 884 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 884, than apply into the LCM equation.
GCF(864,884) = 4
LCM(864,884) = ( 864 × 884) / 4
LCM(864,884) = 763776 / 4
LCM(864,884) = 190944
Least Common Multiple (LCM) of 864 and 884 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 864 and 884. First we will calculate the prime factors of 864 and 884.
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 884
Prime factors of 884 are 2, 13, 17. Prime factorization of 884 in exponential form is:
884 = 22 × 131 × 171
Now multiplying the highest exponent prime factors to calculate the LCM of 864 and 884.
LCM(864,884) = 25 × 33 × 131 × 171
LCM(864,884) = 190944
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