What is the Least Common Multiple of 988 and 1003?
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 988 and 1003 is 990964.
LCM(988,1003) = 990964
Least Common Multiple of 988 and 1003 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 988 and 1003, than apply into the LCM equation.
GCF(988,1003) = 1
LCM(988,1003) = ( 988 × 1003) / 1
LCM(988,1003) = 990964 / 1
LCM(988,1003) = 990964
Least Common Multiple (LCM) of 988 and 1003 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 988 and 1003. First we will calculate the prime factors of 988 and 1003.
Prime Factorization of 988
Prime factors of 988 are 2, 13, 19. Prime factorization of 988 in exponential form is:
988 = 22 × 131 × 191
Prime Factorization of 1003
Prime factors of 1003 are 17, 59. Prime factorization of 1003 in exponential form is:
1003 = 171 × 591
Now multiplying the highest exponent prime factors to calculate the LCM of 988 and 1003.
LCM(988,1003) = 22 × 131 × 191 × 171 × 591
LCM(988,1003) = 990964
Related Least Common Multiples of 988
- LCM of 988 and 992
- LCM of 988 and 993
- LCM of 988 and 994
- LCM of 988 and 995
- LCM of 988 and 996
- LCM of 988 and 997
- LCM of 988 and 998
- LCM of 988 and 999
- LCM of 988 and 1000
- LCM of 988 and 1001
- LCM of 988 and 1002
- LCM of 988 and 1003
- LCM of 988 and 1004
- LCM of 988 and 1005
- LCM of 988 and 1006
- LCM of 988 and 1007
- LCM of 988 and 1008
Related Least Common Multiples of 1003
- LCM of 1003 and 1007
- LCM of 1003 and 1008
- LCM of 1003 and 1009
- LCM of 1003 and 1010
- LCM of 1003 and 1011
- LCM of 1003 and 1012
- LCM of 1003 and 1013
- LCM of 1003 and 1014
- LCM of 1003 and 1015
- LCM of 1003 and 1016
- LCM of 1003 and 1017
- LCM of 1003 and 1018
- LCM of 1003 and 1019
- LCM of 1003 and 1020
- LCM of 1003 and 1021
- LCM of 1003 and 1022
- LCM of 1003 and 1023