Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1124 and 1129 the smallest integer that is 1268996 that is divisible by both numbers.
Least Common Multiple (LCM) of 1124 and 1129 is 1268996.
LCM(1124,1129) = 1268996
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 1124 and 1129. First we will calculate the prime factors of 1124 and 1129.
Prime Factorization of 1124
2 | 1124 |
2 | 562 |
281 | 281 |
1 |
Prime factors of 1124 are 2,281. Prime factorization of 1124 in exponential form is:
1124 = 22×2811
Prime Factorization of 1129
1129 | 1129 |
1 |
Prime factors of 1129 are 1129. Prime factorization of 1129 in exponential form is:
1129 = 11291
Now multiplying the highest exponent prime factors to calculate the LCM of 1124 and 1129.
LCM(1124,1129) = 22×2811×11291
LCM(1124,1129) = 1268996
Factors of 1124
List of positive integer factors of 1124 that divides 1124 without a remainder.
1, 2, 4, 281, 562, 1124
Factors of 1129
List of positive integer factors of 1129 that divides 1129 without a remainder.
1, 1129
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1124 and 1129, than apply into the LCM equation.
GCF(1124,1129) = 1
LCM(1124,1129) = ( 1124 × 1129) / 1
LCM(1124,1129) = 1268996 / 1
LCM(1124,1129) = 1268996
(i) The LCM of 1129 and 1124 is associative
LCM of 1124 and 1129 = LCM of 1129 and 1124
1. What is the LCM of 1124 and 1129?
Answer: LCM of 1124 and 1129 is 1268996.
2. What are the Factors of 1124?
Answer: Factors of 1124 are 1, 2, 4, 281, 562, 1124. There are 6 integers that are factors of 1124. The greatest factor of 1124 is 1124.
3. What are the Factors of 1129?
Answer: Factors of 1129 are 1, 1129. There are 2 integers that are factors of 1129. The greatest factor of 1129 is 1129.
4. How to Find the LCM of 1124 and 1129?
Answer:
Least Common Multiple of 1124 and 1129 = 1268996
Step 1: Find the prime factorization of 1124
1124 = 2 x 2 x 281
Step 2: Find the prime factorization of 1129
1129 = 1129
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1268996 = 2 x 2 x 281 x 1129
Step 4: Therefore, the least common multiple of 1124 and 1129 is 1268996.