What is the Least Common Multiple of 987 and 1002?
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 987 and 1002 is 329658.
LCM(987,1002) = 329658
Least Common Multiple of 987 and 1002 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 987 and 1002, than apply into the LCM equation.
GCF(987,1002) = 3
LCM(987,1002) = ( 987 × 1002) / 3
LCM(987,1002) = 988974 / 3
LCM(987,1002) = 329658
Least Common Multiple (LCM) of 987 and 1002 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 987 and 1002. First we will calculate the prime factors of 987 and 1002.
Prime Factorization of 987
Prime factors of 987 are 3, 7, 47. Prime factorization of 987 in exponential form is:
987 = 31 × 71 × 471
Prime Factorization of 1002
Prime factors of 1002 are 2, 3, 167. Prime factorization of 1002 in exponential form is:
1002 = 21 × 31 × 1671
Now multiplying the highest exponent prime factors to calculate the LCM of 987 and 1002.
LCM(987,1002) = 31 × 71 × 471 × 21 × 1671
LCM(987,1002) = 329658
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