Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1156 and 1158 the smallest integer that is 669324 that is divisible by both numbers.
Least Common Multiple (LCM) of 1156 and 1158 is 669324.
LCM(1156,1158) = 669324
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 1156 and 1158. First we will calculate the prime factors of 1156 and 1158.
Prime Factorization of 1156
2 | 1156 |
2 | 578 |
17 | 289 |
17 | 17 |
1 |
Prime factors of 1156 are 2,17. Prime factorization of 1156 in exponential form is:
1156 = 22×172
Prime Factorization of 1158
2 | 1158 |
3 | 579 |
193 | 193 |
1 |
Prime factors of 1158 are 2, 3,193. Prime factorization of 1158 in exponential form is:
1158 = 21×31×1931
Now multiplying the highest exponent prime factors to calculate the LCM of 1156 and 1158.
LCM(1156,1158) = 22×31×172×1931
LCM(1156,1158) = 669324
Factors of 1156
List of positive integer factors of 1156 that divides 1156 without a remainder.
1, 2, 4, 17, 34, 68, 289, 578, 1156
Factors of 1158
List of positive integer factors of 1158 that divides 1158 without a remainder.
1, 2, 3, 6, 193, 386, 579, 1158
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1156 and 1158, than apply into the LCM equation.
GCF(1156,1158) = 2
LCM(1156,1158) = ( 1156 × 1158) / 2
LCM(1156,1158) = 1338648 / 2
LCM(1156,1158) = 669324
(i) The LCM of 1158 and 1156 is associative
LCM of 1156 and 1158 = LCM of 1158 and 1156
1. What is the LCM of 1156 and 1158?
Answer: LCM of 1156 and 1158 is 669324.
2. What are the Factors of 1156?
Answer: Factors of 1156 are 1, 2, 4, 17, 34, 68, 289, 578, 1156. There are 9 integers that are factors of 1156. The greatest factor of 1156 is 1156.
3. What are the Factors of 1158?
Answer: Factors of 1158 are 1, 2, 3, 6, 193, 386, 579, 1158. There are 8 integers that are factors of 1158. The greatest factor of 1158 is 1158.
4. How to Find the LCM of 1156 and 1158?
Answer:
Least Common Multiple of 1156 and 1158 = 669324
Step 1: Find the prime factorization of 1156
1156 = 2 x 2 x 17 x 17
Step 2: Find the prime factorization of 1158
1158 = 2 x 3 x 193
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 669324 = 2 x 2 x 3 x 17 x 17 x 193
Step 4: Therefore, the least common multiple of 1156 and 1158 is 669324.