Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1142 and 1149 the smallest integer that is 1312158 that is divisible by both numbers.
Least Common Multiple (LCM) of 1142 and 1149 is 1312158.
LCM(1142,1149) = 1312158
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 1142 and 1149. First we will calculate the prime factors of 1142 and 1149.
Prime Factorization of 1142
2 | 1142 |
571 | 571 |
1 |
Prime factors of 1142 are 2,571. Prime factorization of 1142 in exponential form is:
1142 = 21×5711
Prime Factorization of 1149
3 | 1149 |
383 | 383 |
1 |
Prime factors of 1149 are 3,383. Prime factorization of 1149 in exponential form is:
1149 = 31×3831
Now multiplying the highest exponent prime factors to calculate the LCM of 1142 and 1149.
LCM(1142,1149) = 21×31×3831×5711
LCM(1142,1149) = 1312158
Factors of 1142
List of positive integer factors of 1142 that divides 1142 without a remainder.
1, 2, 571, 1142
Factors of 1149
List of positive integer factors of 1149 that divides 1149 without a remainder.
1, 3, 383, 1149
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1142 and 1149, than apply into the LCM equation.
GCF(1142,1149) = 1
LCM(1142,1149) = ( 1142 × 1149) / 1
LCM(1142,1149) = 1312158 / 1
LCM(1142,1149) = 1312158
(i) The LCM of 1149 and 1142 is associative
LCM of 1142 and 1149 = LCM of 1149 and 1142
1. What is the LCM of 1142 and 1149?
Answer: LCM of 1142 and 1149 is 1312158.
2. What are the Factors of 1142?
Answer: Factors of 1142 are 1, 2, 571, 1142. There are 4 integers that are factors of 1142. The greatest factor of 1142 is 1142.
3. What are the Factors of 1149?
Answer: Factors of 1149 are 1, 3, 383, 1149. There are 4 integers that are factors of 1149. The greatest factor of 1149 is 1149.
4. How to Find the LCM of 1142 and 1149?
Answer:
Least Common Multiple of 1142 and 1149 = 1312158
Step 1: Find the prime factorization of 1142
1142 = 2 x 571
Step 2: Find the prime factorization of 1149
1149 = 3 x 383
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1312158 = 2 x 3 x 383 x 571
Step 4: Therefore, the least common multiple of 1142 and 1149 is 1312158.