What is the Least Common Multiple of 982 and 999?
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 982 and 999 is 981018.
LCM(982,999) = 981018
Least Common Multiple of 982 and 999 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 982 and 999, than apply into the LCM equation.
GCF(982,999) = 1
LCM(982,999) = ( 982 × 999) / 1
LCM(982,999) = 981018 / 1
LCM(982,999) = 981018
Least Common Multiple (LCM) of 982 and 999 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 982 and 999. First we will calculate the prime factors of 982 and 999.
Prime Factorization of 982
Prime factors of 982 are 2, 491. Prime factorization of 982 in exponential form is:
982 = 21 × 4911
Prime Factorization of 999
Prime factors of 999 are 3, 37. Prime factorization of 999 in exponential form is:
999 = 33 × 371
Now multiplying the highest exponent prime factors to calculate the LCM of 982 and 999.
LCM(982,999) = 21 × 4911 × 33 × 371
LCM(982,999) = 981018
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