What is the Least Common Multiple of 1037 and 1056?
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 1037 and 1056 is 1095072.
LCM(1037,1056) = 1095072
Least Common Multiple of 1037 and 1056 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1037 and 1056, than apply into the LCM equation.
GCF(1037,1056) = 1
LCM(1037,1056) = ( 1037 × 1056) / 1
LCM(1037,1056) = 1095072 / 1
LCM(1037,1056) = 1095072
Least Common Multiple (LCM) of 1037 and 1056 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 1037 and 1056. First we will calculate the prime factors of 1037 and 1056.
Prime Factorization of 1037
Prime factors of 1037 are 17, 61. Prime factorization of 1037 in exponential form is:
1037 = 171 × 611
Prime Factorization of 1056
Prime factors of 1056 are 2, 3, 11. Prime factorization of 1056 in exponential form is:
1056 = 25 × 31 × 111
Now multiplying the highest exponent prime factors to calculate the LCM of 1037 and 1056.
LCM(1037,1056) = 171 × 611 × 25 × 31 × 111
LCM(1037,1056) = 1095072
Related Least Common Multiples of 1037
- LCM of 1037 and 1041
- LCM of 1037 and 1042
- LCM of 1037 and 1043
- LCM of 1037 and 1044
- LCM of 1037 and 1045
- LCM of 1037 and 1046
- LCM of 1037 and 1047
- LCM of 1037 and 1048
- LCM of 1037 and 1049
- LCM of 1037 and 1050
- LCM of 1037 and 1051
- LCM of 1037 and 1052
- LCM of 1037 and 1053
- LCM of 1037 and 1054
- LCM of 1037 and 1055
- LCM of 1037 and 1056
- LCM of 1037 and 1057
Related Least Common Multiples of 1056
- LCM of 1056 and 1060
- LCM of 1056 and 1061
- LCM of 1056 and 1062
- LCM of 1056 and 1063
- LCM of 1056 and 1064
- LCM of 1056 and 1065
- LCM of 1056 and 1066
- LCM of 1056 and 1067
- LCM of 1056 and 1068
- LCM of 1056 and 1069
- LCM of 1056 and 1070
- LCM of 1056 and 1071
- LCM of 1056 and 1072
- LCM of 1056 and 1073
- LCM of 1056 and 1074
- LCM of 1056 and 1075
- LCM of 1056 and 1076