What is the Least Common Multiple of 998 and 1016?
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 998 and 1016 is 506984.
LCM(998,1016) = 506984
Least Common Multiple of 998 and 1016 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 998 and 1016, than apply into the LCM equation.
GCF(998,1016) = 2
LCM(998,1016) = ( 998 × 1016) / 2
LCM(998,1016) = 1013968 / 2
LCM(998,1016) = 506984
Least Common Multiple (LCM) of 998 and 1016 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 998 and 1016. First we will calculate the prime factors of 998 and 1016.
Prime Factorization of 998
Prime factors of 998 are 2, 499. Prime factorization of 998 in exponential form is:
998 = 21 × 4991
Prime Factorization of 1016
Prime factors of 1016 are 2, 127. Prime factorization of 1016 in exponential form is:
1016 = 23 × 1271
Now multiplying the highest exponent prime factors to calculate the LCM of 998 and 1016.
LCM(998,1016) = 23 × 4991 × 1271
LCM(998,1016) = 506984
Related Least Common Multiples of 998
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