What is the Least Common Multiple of 1125 and 1134?
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 1125 and 1134 is 141750.
LCM(1125,1134) = 141750
Least Common Multiple of 1125 and 1134 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1125 and 1134, than apply into the LCM equation.
GCF(1125,1134) = 9
LCM(1125,1134) = ( 1125 × 1134) / 9
LCM(1125,1134) = 1275750 / 9
LCM(1125,1134) = 141750
Least Common Multiple (LCM) of 1125 and 1134 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 1125 and 1134. First we will calculate the prime factors of 1125 and 1134.
Prime Factorization of 1125
Prime factors of 1125 are 3, 5. Prime factorization of 1125 in exponential form is:
1125 = 32 × 53
Prime Factorization of 1134
Prime factors of 1134 are 2, 3, 7. Prime factorization of 1134 in exponential form is:
1134 = 21 × 34 × 71
Now multiplying the highest exponent prime factors to calculate the LCM of 1125 and 1134.
LCM(1125,1134) = 34 × 53 × 21 × 71
LCM(1125,1134) = 141750
Related Least Common Multiples of 1125
- LCM of 1125 and 1129
- LCM of 1125 and 1130
- LCM of 1125 and 1131
- LCM of 1125 and 1132
- LCM of 1125 and 1133
- LCM of 1125 and 1134
- LCM of 1125 and 1135
- LCM of 1125 and 1136
- LCM of 1125 and 1137
- LCM of 1125 and 1138
- LCM of 1125 and 1139
- LCM of 1125 and 1140
- LCM of 1125 and 1141
- LCM of 1125 and 1142
- LCM of 1125 and 1143
- LCM of 1125 and 1144
- LCM of 1125 and 1145
Related Least Common Multiples of 1134
- LCM of 1134 and 1138
- LCM of 1134 and 1139
- LCM of 1134 and 1140
- LCM of 1134 and 1141
- LCM of 1134 and 1142
- LCM of 1134 and 1143
- LCM of 1134 and 1144
- LCM of 1134 and 1145
- LCM of 1134 and 1146
- LCM of 1134 and 1147
- LCM of 1134 and 1148
- LCM of 1134 and 1149
- LCM of 1134 and 1150
- LCM of 1134 and 1151
- LCM of 1134 and 1152
- LCM of 1134 and 1153
- LCM of 1134 and 1154