Least Common Multiple of 630 and 633
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 630 and 633 the smallest integer that is 132930 that is divisible by both numbers.
Least Common Multiple (LCM) of 630 and 633 is 132930.
LCM(630,633) = 132930
LCM of 630 and 633
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 630 and 633 by Prime method
- Least Common Multiple of 630 and 633 with GCF Formula
LCM of 630 and 633 is 132930
Least common multiple can be found by multiplying the highest exponent prime factors of 630 and 633. First we will calculate the prime factors of 630 and 633.
Prime Factorization of 630
| 2 | 630 |
| 3 | 315 |
| 3 | 105 |
| 5 | 35 |
| 7 | 7 |
| 1 |
Prime factors of 630 are 2, 3, 5,7. Prime factorization of 630 in exponential form is:
630 = 21×32×51×71
Prime Factorization of 633
| 3 | 633 |
| 211 | 211 |
| 1 |
Prime factors of 633 are 3,211. Prime factorization of 633 in exponential form is:
633 = 31×2111
Now multiplying the highest exponent prime factors to calculate the LCM of 630 and 633.
LCM(630,633) = 21×32×51×71×2111
LCM(630,633) = 132930
Factors of 630
List of positive integer factors of 630 that divides 630 without a remainder.
1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630
Factors of 633
List of positive integer factors of 633 that divides 633 without a remainder.
1, 3, 211, 633
Least Common Multiple of 630 and 633 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 630 and 633, than apply into the LCM equation.
GCF(630,633) = 3
LCM(630,633) = ( 630 × 633) / 3
LCM(630,633) = 398790 / 3
LCM(630,633) = 132930
Properties of LCM 630 and 633
(i) The LCM of 633 and 630 is associative
LCM of 630 and 633 = LCM of 633 and 630
Related Least Common Multiples of 630
Related Least Common Multiples of 633
Frequently Asked Questions on LCM of 630 and 633
1. What is the LCM of 630 and 633?
Answer: LCM of 630 and 633 is 132930.
2. What are the Factors of 630?
Answer: Factors of 630 are 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630. There are 24 integers that are factors of 630. The greatest factor of 630 is 630.
3. What are the Factors of 633?
Answer: Factors of 633 are 1, 3, 211, 633. There are 4 integers that are factors of 633. The greatest factor of 633 is 633.
4. How to Find the LCM of 630 and 633?
Answer:
Least Common Multiple of 630 and 633 = 132930
Step 1: Find the prime factorization of 630
630 = 2 x 3 x 3 x 5 x 7
Step 2: Find the prime factorization of 633
633 = 3 x 211
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 132930 = 2 x 3 x 3 x 5 x 7 x 211
Step 4: Therefore, the least common multiple of 630 and 633 is 132930.
