What is the Least Common Multiple of 1003 and 1020?
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 1003 and 1020 is 60180.
LCM(1003,1020) = 60180
Least Common Multiple of 1003 and 1020 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1003 and 1020, than apply into the LCM equation.
GCF(1003,1020) = 17
LCM(1003,1020) = ( 1003 × 1020) / 17
LCM(1003,1020) = 1023060 / 17
LCM(1003,1020) = 60180
Least Common Multiple (LCM) of 1003 and 1020 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 1003 and 1020. First we will calculate the prime factors of 1003 and 1020.
Prime Factorization of 1003
Prime factors of 1003 are 17, 59. Prime factorization of 1003 in exponential form is:
1003 = 171 × 591
Prime Factorization of 1020
Prime factors of 1020 are 2, 3, 5, 17. Prime factorization of 1020 in exponential form is:
1020 = 22 × 31 × 51 × 171
Now multiplying the highest exponent prime factors to calculate the LCM of 1003 and 1020.
LCM(1003,1020) = 171 × 591 × 22 × 31 × 51
LCM(1003,1020) = 60180
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
Related Least Common Multiples of 1020
- LCM of 1020 and 1024
- LCM of 1020 and 1025
- LCM of 1020 and 1026
- LCM of 1020 and 1027
- LCM of 1020 and 1028
- LCM of 1020 and 1029
- LCM of 1020 and 1030
- LCM of 1020 and 1031
- LCM of 1020 and 1032
- LCM of 1020 and 1033
- LCM of 1020 and 1034
- LCM of 1020 and 1035
- LCM of 1020 and 1036
- LCM of 1020 and 1037
- LCM of 1020 and 1038
- LCM of 1020 and 1039
- LCM of 1020 and 1040