What is the Least Common Multiple of 869 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 869 and 884 is 768196.
LCM(869,884) = 768196
Least Common Multiple of 869 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 869 and 884, than apply into the LCM equation.
GCF(869,884) = 1
LCM(869,884) = ( 869 × 884) / 1
LCM(869,884) = 768196 / 1
LCM(869,884) = 768196
Least Common Multiple (LCM) of 869 and 884 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 869 and 884. First we will calculate the prime factors of 869 and 884.
Prime Factorization of 869
Prime factors of 869 are 11, 79. Prime factorization of 869 in exponential form is:
869 = 111 × 791
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 869 and 884.
LCM(869,884) = 111 × 791 × 22 × 131 × 171
LCM(869,884) = 768196
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