Least Common Multiple of 1631 and 1639
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1631 and 1639 the smallest integer that is 2673209 that is divisible by both numbers.
Least Common Multiple (LCM) of 1631 and 1639 is 2673209.
LCM(1631,1639) = 2673209
LCM of 1631 and 1639
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 1631 and 1639 by Prime method
- Least Common Multiple of 1631 and 1639 with GCF Formula
LCM of 1631 and 1639 is 2673209
Least common multiple can be found by multiplying the highest exponent prime factors of 1631 and 1639. First we will calculate the prime factors of 1631 and 1639.
Prime Factorization of 1631
| 7 | 1631 |
| 233 | 233 |
| 1 |
Prime factors of 1631 are 7,233. Prime factorization of 1631 in exponential form is:
1631 = 71×2331
Prime Factorization of 1639
| 11 | 1639 |
| 149 | 149 |
| 1 |
Prime factors of 1639 are 11,149. Prime factorization of 1639 in exponential form is:
1639 = 111×1491
Now multiplying the highest exponent prime factors to calculate the LCM of 1631 and 1639.
LCM(1631,1639) = 71×111×1491×2331
LCM(1631,1639) = 2673209
Factors of 1631
List of positive integer factors of 1631 that divides 1631 without a remainder.
1, 7, 233, 1631
Factors of 1639
List of positive integer factors of 1639 that divides 1639 without a remainder.
1, 11, 149, 1639
Least Common Multiple of 1631 and 1639 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1631 and 1639, than apply into the LCM equation.
GCF(1631,1639) = 1
LCM(1631,1639) = ( 1631 × 1639) / 1
LCM(1631,1639) = 2673209 / 1
LCM(1631,1639) = 2673209
Properties of LCM 1631 and 1639
(i) The LCM of 1639 and 1631 is associative
LCM of 1631 and 1639 = LCM of 1639 and 1631
Related Least Common Multiples of 1631
Related Least Common Multiples of 1639
Frequently Asked Questions on LCM of 1631 and 1639
1. What is the LCM of 1631 and 1639?
Answer: LCM of 1631 and 1639 is 2673209.
2. What are the Factors of 1631?
Answer: Factors of 1631 are 1, 7, 233, 1631. There are 4 integers that are factors of 1631. The greatest factor of 1631 is 1631.
3. What are the Factors of 1639?
Answer: Factors of 1639 are 1, 11, 149, 1639. There are 4 integers that are factors of 1639. The greatest factor of 1639 is 1639.
4. How to Find the LCM of 1631 and 1639?
Answer:
Least Common Multiple of 1631 and 1639 = 2673209
Step 1: Find the prime factorization of 1631
1631 = 7 x 233
Step 2: Find the prime factorization of 1639
1639 = 11 x 149
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 2673209 = 7 x 11 x 149 x 233
Step 4: Therefore, the least common multiple of 1631 and 1639 is 2673209.