Least Common Multiple of 1639 and 1643
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1639 and 1643 the smallest integer that is 2692877 that is divisible by both numbers.
Least Common Multiple (LCM) of 1639 and 1643 is 2692877.
LCM(1639,1643) = 2692877
LCM of 1639 and 1643
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 1639 and 1643 by Prime method
- Least Common Multiple of 1639 and 1643 with GCF Formula
LCM of 1639 and 1643 is 2692877
Least common multiple can be found by multiplying the highest exponent prime factors of 1639 and 1643. First we will calculate the prime factors of 1639 and 1643.
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
Prime Factorization of 1643
| 31 | 1643 |
| 53 | 53 |
| 1 |
Prime factors of 1643 are 31,53. Prime factorization of 1643 in exponential form is:
1643 = 311×531
Now multiplying the highest exponent prime factors to calculate the LCM of 1639 and 1643.
LCM(1639,1643) = 111×311×531×1491
LCM(1639,1643) = 2692877
Factors of 1639
List of positive integer factors of 1639 that divides 1639 without a remainder.
1, 11, 149, 1639
Factors of 1643
List of positive integer factors of 1643 that divides 1643 without a remainder.
1, 31, 53, 1643
Least Common Multiple of 1639 and 1643 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1639 and 1643, than apply into the LCM equation.
GCF(1639,1643) = 1
LCM(1639,1643) = ( 1639 × 1643) / 1
LCM(1639,1643) = 2692877 / 1
LCM(1639,1643) = 2692877
Properties of LCM 1639 and 1643
(i) The LCM of 1643 and 1639 is associative
LCM of 1639 and 1643 = LCM of 1643 and 1639
Related Least Common Multiples of 1639
Related Least Common Multiples of 1643
Frequently Asked Questions on LCM of 1639 and 1643
1. What is the LCM of 1639 and 1643?
Answer: LCM of 1639 and 1643 is 2692877.
2. 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.
3. What are the Factors of 1643?
Answer: Factors of 1643 are 1, 31, 53, 1643. There are 4 integers that are factors of 1643. The greatest factor of 1643 is 1643.
4. How to Find the LCM of 1639 and 1643?
Answer:
Least Common Multiple of 1639 and 1643 = 2692877
Step 1: Find the prime factorization of 1639
1639 = 11 x 149
Step 2: Find the prime factorization of 1643
1643 = 31 x 53
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 2692877 = 11 x 31 x 53 x 149
Step 4: Therefore, the least common multiple of 1639 and 1643 is 2692877.