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 1126 the smallest integer that is 632812 that is divisible by both numbers.
Least Common Multiple (LCM) of 1124 and 1126 is 632812.
LCM(1124,1126) = 632812
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 1126. First we will calculate the prime factors of 1124 and 1126.
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 1126
2 | 1126 |
563 | 563 |
1 |
Prime factors of 1126 are 2,563. Prime factorization of 1126 in exponential form is:
1126 = 21×5631
Now multiplying the highest exponent prime factors to calculate the LCM of 1124 and 1126.
LCM(1124,1126) = 22×2811×5631
LCM(1124,1126) = 632812
Factors of 1124
List of positive integer factors of 1124 that divides 1124 without a remainder.
1, 2, 4, 281, 562, 1124
Factors of 1126
List of positive integer factors of 1126 that divides 1126 without a remainder.
1, 2, 563, 1126
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1124 and 1126, than apply into the LCM equation.
GCF(1124,1126) = 2
LCM(1124,1126) = ( 1124 × 1126) / 2
LCM(1124,1126) = 1265624 / 2
LCM(1124,1126) = 632812
(i) The LCM of 1126 and 1124 is associative
LCM of 1124 and 1126 = LCM of 1126 and 1124
1. What is the LCM of 1124 and 1126?
Answer: LCM of 1124 and 1126 is 632812.
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 1126?
Answer: Factors of 1126 are 1, 2, 563, 1126. There are 4 integers that are factors of 1126. The greatest factor of 1126 is 1126.
4. How to Find the LCM of 1124 and 1126?
Answer:
Least Common Multiple of 1124 and 1126 = 632812
Step 1: Find the prime factorization of 1124
1124 = 2 x 2 x 281
Step 2: Find the prime factorization of 1126
1126 = 2 x 563
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 632812 = 2 x 2 x 281 x 563
Step 4: Therefore, the least common multiple of 1124 and 1126 is 632812.