What is the Least Common Multiple of 1097 and 1104?
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 1097 and 1104 is 1211088.
LCM(1097,1104) = 1211088
Least Common Multiple of 1097 and 1104 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1097 and 1104, than apply into the LCM equation.
GCF(1097,1104) = 1
LCM(1097,1104) = ( 1097 × 1104) / 1
LCM(1097,1104) = 1211088 / 1
LCM(1097,1104) = 1211088
Least Common Multiple (LCM) of 1097 and 1104 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 1097 and 1104. First we will calculate the prime factors of 1097 and 1104.
Prime Factorization of 1097
Prime factors of 1097 are 1097. Prime factorization of 1097 in exponential form is:
1097 = 10971
Prime Factorization of 1104
Prime factors of 1104 are 2, 3, 23. Prime factorization of 1104 in exponential form is:
1104 = 24 × 31 × 231
Now multiplying the highest exponent prime factors to calculate the LCM of 1097 and 1104.
LCM(1097,1104) = 10971 × 24 × 31 × 231
LCM(1097,1104) = 1211088
Related Least Common Multiples of 1097
- LCM of 1097 and 1101
- LCM of 1097 and 1102
- LCM of 1097 and 1103
- LCM of 1097 and 1104
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- LCM of 1097 and 1106
- LCM of 1097 and 1107
- LCM of 1097 and 1108
- LCM of 1097 and 1109
- LCM of 1097 and 1110
- LCM of 1097 and 1111
- LCM of 1097 and 1112
- LCM of 1097 and 1113
- LCM of 1097 and 1114
- LCM of 1097 and 1115
- LCM of 1097 and 1116
- LCM of 1097 and 1117
Related Least Common Multiples of 1104
- LCM of 1104 and 1108
- LCM of 1104 and 1109
- LCM of 1104 and 1110
- LCM of 1104 and 1111
- LCM of 1104 and 1112
- LCM of 1104 and 1113
- LCM of 1104 and 1114
- LCM of 1104 and 1115
- LCM of 1104 and 1116
- LCM of 1104 and 1117
- LCM of 1104 and 1118
- LCM of 1104 and 1119
- LCM of 1104 and 1120
- LCM of 1104 and 1121
- LCM of 1104 and 1122
- LCM of 1104 and 1123
- LCM of 1104 and 1124