Least Common Multiple of 67031 and 67037
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 67031 and 67037 the smallest integer that is 4493557147 that is divisible by both numbers.
Least Common Multiple (LCM) of 67031 and 67037 is 4493557147.
LCM(67031,67037) = 4493557147
LCM of 67031 and 67037
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 67031 and 67037 by Prime method
- Least Common Multiple of 67031 and 67037 with GCF Formula
LCM of 67031 and 67037 is 4493557147
Least common multiple can be found by multiplying the highest exponent prime factors of 67031 and 67037. First we will calculate the prime factors of 67031 and 67037.
Prime Factorization of 67031
| 17 | 67031 |
| 3943 | 3943 |
| 1 |
Prime factors of 67031 are 17,3943. Prime factorization of 67031 in exponential form is:
67031 = 171×39431
Prime Factorization of 67037
| 43 | 67037 |
| 1559 | 1559 |
| 1 |
Prime factors of 67037 are 43,1559. Prime factorization of 67037 in exponential form is:
67037 = 431×15591
Now multiplying the highest exponent prime factors to calculate the LCM of 67031 and 67037.
LCM(67031,67037) = 171×431×15591×39431
LCM(67031,67037) = 4493557147
Factors of 67031
List of positive integer factors of 67031 that divides 67031 without a remainder.
1, 17, 3943, 67031
Factors of 67037
List of positive integer factors of 67037 that divides 67037 without a remainder.
1, 43, 1559, 67037
Least Common Multiple of 67031 and 67037 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67031 and 67037, than apply into the LCM equation.
GCF(67031,67037) = 1
LCM(67031,67037) = ( 67031 × 67037) / 1
LCM(67031,67037) = 4493557147 / 1
LCM(67031,67037) = 4493557147
Properties of LCM 67031 and 67037
(i) The LCM of 67037 and 67031 is associative
LCM of 67031 and 67037 = LCM of 67037 and 67031
Related Least Common Multiples of 67031
Related Least Common Multiples of 67037
Frequently Asked Questions on LCM of 67031 and 67037
1. What is the LCM of 67031 and 67037?
Answer: LCM of 67031 and 67037 is 4493557147.
2. What are the Factors of 67031?
Answer: Factors of 67031 are 1, 17, 3943, 67031. There are 4 integers that are factors of 67031. The greatest factor of 67031 is 67031.
3. What are the Factors of 67037?
Answer: Factors of 67037 are 1, 43, 1559, 67037. There are 4 integers that are factors of 67037. The greatest factor of 67037 is 67037.
4. How to Find the LCM of 67031 and 67037?
Answer:
Least Common Multiple of 67031 and 67037 = 4493557147
Step 1: Find the prime factorization of 67031
67031 = 17 x 3943
Step 2: Find the prime factorization of 67037
67037 = 43 x 1559
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 4493557147 = 17 x 43 x 1559 x 3943
Step 4: Therefore, the least common multiple of 67031 and 67037 is 4493557147.