Least Common Multiple of 67025 and 67030
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 67025 and 67030 the smallest integer that is 898537150 that is divisible by both numbers.
Least Common Multiple (LCM) of 67025 and 67030 is 898537150.
LCM(67025,67030) = 898537150
LCM of 67025 and 67030
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 67025 and 67030 by Prime method
- Least Common Multiple of 67025 and 67030 with GCF Formula
LCM of 67025 and 67030 is 898537150
Least common multiple can be found by multiplying the highest exponent prime factors of 67025 and 67030. First we will calculate the prime factors of 67025 and 67030.
Prime Factorization of 67025
| 5 | 67025 |
| 5 | 13405 |
| 7 | 2681 |
| 383 | 383 |
| 1 |
Prime factors of 67025 are 5, 7,383. Prime factorization of 67025 in exponential form is:
67025 = 52×71×3831
Prime Factorization of 67030
| 2 | 67030 |
| 5 | 33515 |
| 6703 | 6703 |
| 1 |
Prime factors of 67030 are 2, 5,6703. Prime factorization of 67030 in exponential form is:
67030 = 21×51×67031
Now multiplying the highest exponent prime factors to calculate the LCM of 67025 and 67030.
LCM(67025,67030) = 21×52×71×3831×67031
LCM(67025,67030) = 898537150
Factors of 67025
List of positive integer factors of 67025 that divides 67025 without a remainder.
1, 5, 7, 25, 35, 175, 383, 1915, 2681, 9575, 13405, 67025
Factors of 67030
List of positive integer factors of 67030 that divides 67030 without a remainder.
1, 2, 5, 10, 6703, 13406, 33515, 67030
Least Common Multiple of 67025 and 67030 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67025 and 67030, than apply into the LCM equation.
GCF(67025,67030) = 5
LCM(67025,67030) = ( 67025 × 67030) / 5
LCM(67025,67030) = 4492685750 / 5
LCM(67025,67030) = 898537150
Properties of LCM 67025 and 67030
(i) The LCM of 67030 and 67025 is associative
LCM of 67025 and 67030 = LCM of 67030 and 67025
Related Least Common Multiples of 67025
Related Least Common Multiples of 67030
Frequently Asked Questions on LCM of 67025 and 67030
1. What is the LCM of 67025 and 67030?
Answer: LCM of 67025 and 67030 is 898537150.
2. What are the Factors of 67025?
Answer: Factors of 67025 are 1, 5, 7, 25, 35, 175, 383, 1915, 2681, 9575, 13405, 67025. There are 12 integers that are factors of 67025. The greatest factor of 67025 is 67025.
3. What are the Factors of 67030?
Answer: Factors of 67030 are 1, 2, 5, 10, 6703, 13406, 33515, 67030. There are 8 integers that are factors of 67030. The greatest factor of 67030 is 67030.
4. How to Find the LCM of 67025 and 67030?
Answer:
Least Common Multiple of 67025 and 67030 = 898537150
Step 1: Find the prime factorization of 67025
67025 = 5 x 5 x 7 x 383
Step 2: Find the prime factorization of 67030
67030 = 2 x 5 x 6703
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 898537150 = 2 x 5 x 5 x 7 x 383 x 6703
Step 4: Therefore, the least common multiple of 67025 and 67030 is 898537150.