What is the Least Common Multiple of 1057 and 1069?
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 1057 and 1069 is 1129933.
LCM(1057,1069) = 1129933
Least Common Multiple of 1057 and 1069 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1057 and 1069, than apply into the LCM equation.
GCF(1057,1069) = 1
LCM(1057,1069) = ( 1057 × 1069) / 1
LCM(1057,1069) = 1129933 / 1
LCM(1057,1069) = 1129933
Least Common Multiple (LCM) of 1057 and 1069 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 1057 and 1069. First we will calculate the prime factors of 1057 and 1069.
Prime Factorization of 1057
Prime factors of 1057 are 7, 151. Prime factorization of 1057 in exponential form is:
1057 = 71 × 1511
Prime Factorization of 1069
Prime factors of 1069 are 1069. Prime factorization of 1069 in exponential form is:
1069 = 10691
Now multiplying the highest exponent prime factors to calculate the LCM of 1057 and 1069.
LCM(1057,1069) = 71 × 1511 × 10691
LCM(1057,1069) = 1129933
Related Least Common Multiples of 1057
- LCM of 1057 and 1061
- LCM of 1057 and 1062
- LCM of 1057 and 1063
- LCM of 1057 and 1064
- LCM of 1057 and 1065
- LCM of 1057 and 1066
- LCM of 1057 and 1067
- LCM of 1057 and 1068
- LCM of 1057 and 1069
- LCM of 1057 and 1070
- LCM of 1057 and 1071
- LCM of 1057 and 1072
- LCM of 1057 and 1073
- LCM of 1057 and 1074
- LCM of 1057 and 1075
- LCM of 1057 and 1076
- LCM of 1057 and 1077
Related Least Common Multiples of 1069
- LCM of 1069 and 1073
- LCM of 1069 and 1074
- LCM of 1069 and 1075
- LCM of 1069 and 1076
- LCM of 1069 and 1077
- LCM of 1069 and 1078
- LCM of 1069 and 1079
- LCM of 1069 and 1080
- LCM of 1069 and 1081
- LCM of 1069 and 1082
- LCM of 1069 and 1083
- LCM of 1069 and 1084
- LCM of 1069 and 1085
- LCM of 1069 and 1086
- LCM of 1069 and 1087
- LCM of 1069 and 1088
- LCM of 1069 and 1089