What is the Least Common Multiple of 1031 and 1045?
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 1031 and 1045 is 1077395.
LCM(1031,1045) = 1077395
Least Common Multiple of 1031 and 1045 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1031 and 1045, than apply into the LCM equation.
GCF(1031,1045) = 1
LCM(1031,1045) = ( 1031 × 1045) / 1
LCM(1031,1045) = 1077395 / 1
LCM(1031,1045) = 1077395
Least Common Multiple (LCM) of 1031 and 1045 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 1031 and 1045. First we will calculate the prime factors of 1031 and 1045.
Prime Factorization of 1031
Prime factors of 1031 are 1031. Prime factorization of 1031 in exponential form is:
1031 = 10311
Prime Factorization of 1045
Prime factors of 1045 are 5, 11, 19. Prime factorization of 1045 in exponential form is:
1045 = 51 × 111 × 191
Now multiplying the highest exponent prime factors to calculate the LCM of 1031 and 1045.
LCM(1031,1045) = 10311 × 51 × 111 × 191
LCM(1031,1045) = 1077395
Related Least Common Multiples of 1031
- LCM of 1031 and 1035
- LCM of 1031 and 1036
- LCM of 1031 and 1037
- LCM of 1031 and 1038
- LCM of 1031 and 1039
- LCM of 1031 and 1040
- LCM of 1031 and 1041
- LCM of 1031 and 1042
- LCM of 1031 and 1043
- LCM of 1031 and 1044
- LCM of 1031 and 1045
- LCM of 1031 and 1046
- LCM of 1031 and 1047
- LCM of 1031 and 1048
- LCM of 1031 and 1049
- LCM of 1031 and 1050
- LCM of 1031 and 1051
Related Least Common Multiples of 1045
- LCM of 1045 and 1049
- LCM of 1045 and 1050
- LCM of 1045 and 1051
- LCM of 1045 and 1052
- LCM of 1045 and 1053
- LCM of 1045 and 1054
- LCM of 1045 and 1055
- LCM of 1045 and 1056
- LCM of 1045 and 1057
- LCM of 1045 and 1058
- LCM of 1045 and 1059
- LCM of 1045 and 1060
- LCM of 1045 and 1061
- LCM of 1045 and 1062
- LCM of 1045 and 1063
- LCM of 1045 and 1064
- LCM of 1045 and 1065