Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9142 and 9147 the smallest integer that is 83621874 that is divisible by both numbers.
Least Common Multiple (LCM) of 9142 and 9147 is 83621874.
LCM(9142,9147) = 83621874
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 9142 and 9147. First we will calculate the prime factors of 9142 and 9147.
Prime Factorization of 9142
2 | 9142 |
7 | 4571 |
653 | 653 |
1 |
Prime factors of 9142 are 2, 7,653. Prime factorization of 9142 in exponential form is:
9142 = 21×71×6531
Prime Factorization of 9147
3 | 9147 |
3049 | 3049 |
1 |
Prime factors of 9147 are 3,3049. Prime factorization of 9147 in exponential form is:
9147 = 31×30491
Now multiplying the highest exponent prime factors to calculate the LCM of 9142 and 9147.
LCM(9142,9147) = 21×31×71×6531×30491
LCM(9142,9147) = 83621874
Factors of 9142
List of positive integer factors of 9142 that divides 9142 without a remainder.
1, 2, 7, 14, 653, 1306, 4571, 9142
Factors of 9147
List of positive integer factors of 9147 that divides 9147 without a remainder.
1, 3, 3049, 9147
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9142 and 9147, than apply into the LCM equation.
GCF(9142,9147) = 1
LCM(9142,9147) = ( 9142 × 9147) / 1
LCM(9142,9147) = 83621874 / 1
LCM(9142,9147) = 83621874
(i) The LCM of 9147 and 9142 is associative
LCM of 9142 and 9147 = LCM of 9147 and 9142
1. What is the LCM of 9142 and 9147?
Answer: LCM of 9142 and 9147 is 83621874.
2. What are the Factors of 9142?
Answer: Factors of 9142 are 1, 2, 7, 14, 653, 1306, 4571, 9142. There are 8 integers that are factors of 9142. The greatest factor of 9142 is 9142.
3. What are the Factors of 9147?
Answer: Factors of 9147 are 1, 3, 3049, 9147. There are 4 integers that are factors of 9147. The greatest factor of 9147 is 9147.
4. How to Find the LCM of 9142 and 9147?
Answer:
Least Common Multiple of 9142 and 9147 = 83621874
Step 1: Find the prime factorization of 9142
9142 = 2 x 7 x 653
Step 2: Find the prime factorization of 9147
9147 = 3 x 3049
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 83621874 = 2 x 3 x 7 x 653 x 3049
Step 4: Therefore, the least common multiple of 9142 and 9147 is 83621874.