What is the Least Common Multiple of 987 and 1007?
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 1007 is 993909.
LCM(987,1007) = 993909
Least Common Multiple of 987 and 1007 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 1007, than apply into the LCM equation.
GCF(987,1007) = 1
LCM(987,1007) = ( 987 × 1007) / 1
LCM(987,1007) = 993909 / 1
LCM(987,1007) = 993909
Least Common Multiple (LCM) of 987 and 1007 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 987 and 1007. First we will calculate the prime factors of 987 and 1007.
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 1007
Prime factors of 1007 are 19, 53. Prime factorization of 1007 in exponential form is:
1007 = 191 × 531
Now multiplying the highest exponent prime factors to calculate the LCM of 987 and 1007.
LCM(987,1007) = 31 × 71 × 471 × 191 × 531
LCM(987,1007) = 993909
Related Least Common Multiples of 987
- LCM of 987 and 991
- LCM of 987 and 992
- LCM of 987 and 993
- LCM of 987 and 994
- LCM of 987 and 995
- LCM of 987 and 996
- LCM of 987 and 997
- LCM of 987 and 998
- LCM of 987 and 999
- LCM of 987 and 1000
- LCM of 987 and 1001
- LCM of 987 and 1002
- LCM of 987 and 1003
- LCM of 987 and 1004
- LCM of 987 and 1005
- LCM of 987 and 1006
- LCM of 987 and 1007
Related Least Common Multiples of 1007
- LCM of 1007 and 1011
- LCM of 1007 and 1012
- LCM of 1007 and 1013
- LCM of 1007 and 1014
- LCM of 1007 and 1015
- LCM of 1007 and 1016
- LCM of 1007 and 1017
- LCM of 1007 and 1018
- LCM of 1007 and 1019
- LCM of 1007 and 1020
- LCM of 1007 and 1021
- LCM of 1007 and 1022
- LCM of 1007 and 1023
- LCM of 1007 and 1024
- LCM of 1007 and 1025
- LCM of 1007 and 1026
- LCM of 1007 and 1027