Least Common Multiple of 1630 and 1635
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1630 and 1635 the smallest integer that is 533010 that is divisible by both numbers.
Least Common Multiple (LCM) of 1630 and 1635 is 533010.
LCM(1630,1635) = 533010
LCM of 1630 and 1635
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 1630 and 1635 by Prime method
- Least Common Multiple of 1630 and 1635 with GCF Formula
LCM of 1630 and 1635 is 533010
Least common multiple can be found by multiplying the highest exponent prime factors of 1630 and 1635. First we will calculate the prime factors of 1630 and 1635.
Prime Factorization of 1630
| 2 | 1630 |
| 5 | 815 |
| 163 | 163 |
| 1 |
Prime factors of 1630 are 2, 5,163. Prime factorization of 1630 in exponential form is:
1630 = 21×51×1631
Prime Factorization of 1635
| 3 | 1635 |
| 5 | 545 |
| 109 | 109 |
| 1 |
Prime factors of 1635 are 3, 5,109. Prime factorization of 1635 in exponential form is:
1635 = 31×51×1091
Now multiplying the highest exponent prime factors to calculate the LCM of 1630 and 1635.
LCM(1630,1635) = 21×31×51×1091×1631
LCM(1630,1635) = 533010
Factors of 1630
List of positive integer factors of 1630 that divides 1630 without a remainder.
1, 2, 5, 10, 163, 326, 815, 1630
Factors of 1635
List of positive integer factors of 1635 that divides 1635 without a remainder.
1, 3, 5, 15, 109, 327, 545, 1635
Least Common Multiple of 1630 and 1635 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1630 and 1635, than apply into the LCM equation.
GCF(1630,1635) = 5
LCM(1630,1635) = ( 1630 × 1635) / 5
LCM(1630,1635) = 2665050 / 5
LCM(1630,1635) = 533010
Properties of LCM 1630 and 1635
(i) The LCM of 1635 and 1630 is associative
LCM of 1630 and 1635 = LCM of 1635 and 1630
Related Least Common Multiples of 1630
Related Least Common Multiples of 1635
Frequently Asked Questions on LCM of 1630 and 1635
1. What is the LCM of 1630 and 1635?
Answer: LCM of 1630 and 1635 is 533010.
2. What are the Factors of 1630?
Answer: Factors of 1630 are 1, 2, 5, 10, 163, 326, 815, 1630. There are 8 integers that are factors of 1630. The greatest factor of 1630 is 1630.
3. What are the Factors of 1635?
Answer: Factors of 1635 are 1, 3, 5, 15, 109, 327, 545, 1635. There are 8 integers that are factors of 1635. The greatest factor of 1635 is 1635.
4. How to Find the LCM of 1630 and 1635?
Answer:
Least Common Multiple of 1630 and 1635 = 533010
Step 1: Find the prime factorization of 1630
1630 = 2 x 5 x 163
Step 2: Find the prime factorization of 1635
1635 = 3 x 5 x 109
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 533010 = 2 x 3 x 5 x 109 x 163
Step 4: Therefore, the least common multiple of 1630 and 1635 is 533010.