What is the Least Common Multiple of 1077 and 1095?
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 1077 and 1095 is 393105.
LCM(1077,1095) = 393105
Least Common Multiple of 1077 and 1095 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1077 and 1095, than apply into the LCM equation.
GCF(1077,1095) = 3
LCM(1077,1095) = ( 1077 × 1095) / 3
LCM(1077,1095) = 1179315 / 3
LCM(1077,1095) = 393105
Least Common Multiple (LCM) of 1077 and 1095 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 1077 and 1095. First we will calculate the prime factors of 1077 and 1095.
Prime Factorization of 1077
Prime factors of 1077 are 3, 359. Prime factorization of 1077 in exponential form is:
1077 = 31 × 3591
Prime Factorization of 1095
Prime factors of 1095 are 3, 5, 73. Prime factorization of 1095 in exponential form is:
1095 = 31 × 51 × 731
Now multiplying the highest exponent prime factors to calculate the LCM of 1077 and 1095.
LCM(1077,1095) = 31 × 3591 × 51 × 731
LCM(1077,1095) = 393105
Related Least Common Multiples of 1077
- LCM of 1077 and 1081
- LCM of 1077 and 1082
- LCM of 1077 and 1083
- LCM of 1077 and 1084
- LCM of 1077 and 1085
- LCM of 1077 and 1086
- LCM of 1077 and 1087
- LCM of 1077 and 1088
- LCM of 1077 and 1089
- LCM of 1077 and 1090
- LCM of 1077 and 1091
- LCM of 1077 and 1092
- LCM of 1077 and 1093
- LCM of 1077 and 1094
- LCM of 1077 and 1095
- LCM of 1077 and 1096
- LCM of 1077 and 1097
Related Least Common Multiples of 1095
- LCM of 1095 and 1099
- LCM of 1095 and 1100
- LCM of 1095 and 1101
- LCM of 1095 and 1102
- LCM of 1095 and 1103
- LCM of 1095 and 1104
- LCM of 1095 and 1105
- LCM of 1095 and 1106
- LCM of 1095 and 1107
- LCM of 1095 and 1108
- LCM of 1095 and 1109
- LCM of 1095 and 1110
- LCM of 1095 and 1111
- LCM of 1095 and 1112
- LCM of 1095 and 1113
- LCM of 1095 and 1114
- LCM of 1095 and 1115