Least Common Multiple of 6948 and 6953
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6948 and 6953 the smallest integer that is 48309444 that is divisible by both numbers.
Least Common Multiple (LCM) of 6948 and 6953 is 48309444.
LCM(6948,6953) = 48309444
LCM of 6948 and 6953
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6948 and 6953 by Prime method
- Least Common Multiple of 6948 and 6953 with GCF Formula
LCM of 6948 and 6953 is 48309444
Least common multiple can be found by multiplying the highest exponent prime factors of 6948 and 6953. First we will calculate the prime factors of 6948 and 6953.
Prime Factorization of 6948
| 2 | 6948 |
| 2 | 3474 |
| 3 | 1737 |
| 3 | 579 |
| 193 | 193 |
| 1 |
Prime factors of 6948 are 2, 3,193. Prime factorization of 6948 in exponential form is:
6948 = 22×32×1931
Prime Factorization of 6953
| 17 | 6953 |
| 409 | 409 |
| 1 |
Prime factors of 6953 are 17,409. Prime factorization of 6953 in exponential form is:
6953 = 171×4091
Now multiplying the highest exponent prime factors to calculate the LCM of 6948 and 6953.
LCM(6948,6953) = 22×32×171×1931×4091
LCM(6948,6953) = 48309444
Factors of 6948
List of positive integer factors of 6948 that divides 6948 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 36, 193, 386, 579, 772, 1158, 1737, 2316, 3474, 6948
Factors of 6953
List of positive integer factors of 6953 that divides 6953 without a remainder.
1, 17, 409, 6953
Least Common Multiple of 6948 and 6953 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6948 and 6953, than apply into the LCM equation.
GCF(6948,6953) = 1
LCM(6948,6953) = ( 6948 × 6953) / 1
LCM(6948,6953) = 48309444 / 1
LCM(6948,6953) = 48309444
Properties of LCM 6948 and 6953
(i) The LCM of 6953 and 6948 is associative
LCM of 6948 and 6953 = LCM of 6953 and 6948
Related Least Common Multiples of 6948
Related Least Common Multiples of 6953
Frequently Asked Questions on LCM of 6948 and 6953
1. What is the LCM of 6948 and 6953?
Answer: LCM of 6948 and 6953 is 48309444.
2. What are the Factors of 6948?
Answer: Factors of 6948 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 193, 386, 579, 772, 1158, 1737, 2316, 3474, 6948. There are 18 integers that are factors of 6948. The greatest factor of 6948 is 6948.
3. What are the Factors of 6953?
Answer: Factors of 6953 are 1, 17, 409, 6953. There are 4 integers that are factors of 6953. The greatest factor of 6953 is 6953.
4. How to Find the LCM of 6948 and 6953?
Answer:
Least Common Multiple of 6948 and 6953 = 48309444
Step 1: Find the prime factorization of 6948
6948 = 2 x 2 x 3 x 3 x 193
Step 2: Find the prime factorization of 6953
6953 = 17 x 409
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 48309444 = 2 x 2 x 3 x 3 x 17 x 193 x 409
Step 4: Therefore, the least common multiple of 6948 and 6953 is 48309444.