Least Common Multiple of 8949 and 8953
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8949 and 8953 the smallest integer that is 80120397 that is divisible by both numbers.
Least Common Multiple (LCM) of 8949 and 8953 is 80120397.
LCM(8949,8953) = 80120397
LCM of 8949 and 8953
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8949 and 8953 by Prime method
- Least Common Multiple of 8949 and 8953 with GCF Formula
LCM of 8949 and 8953 is 80120397
Least common multiple can be found by multiplying the highest exponent prime factors of 8949 and 8953. First we will calculate the prime factors of 8949 and 8953.
Prime Factorization of 8949
| 3 | 8949 |
| 19 | 2983 |
| 157 | 157 |
| 1 |
Prime factors of 8949 are 3, 19,157. Prime factorization of 8949 in exponential form is:
8949 = 31×191×1571
Prime Factorization of 8953
| 7 | 8953 |
| 1279 | 1279 |
| 1 |
Prime factors of 8953 are 7,1279. Prime factorization of 8953 in exponential form is:
8953 = 71×12791
Now multiplying the highest exponent prime factors to calculate the LCM of 8949 and 8953.
LCM(8949,8953) = 31×71×191×1571×12791
LCM(8949,8953) = 80120397
Factors of 8949
List of positive integer factors of 8949 that divides 8949 without a remainder.
1, 3, 19, 57, 157, 471, 2983, 8949
Factors of 8953
List of positive integer factors of 8953 that divides 8953 without a remainder.
1, 7, 1279, 8953
Least Common Multiple of 8949 and 8953 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8949 and 8953, than apply into the LCM equation.
GCF(8949,8953) = 1
LCM(8949,8953) = ( 8949 × 8953) / 1
LCM(8949,8953) = 80120397 / 1
LCM(8949,8953) = 80120397
Properties of LCM 8949 and 8953
(i) The LCM of 8953 and 8949 is associative
LCM of 8949 and 8953 = LCM of 8953 and 8949
Related Least Common Multiples of 8949
Related Least Common Multiples of 8953
Frequently Asked Questions on LCM of 8949 and 8953
1. What is the LCM of 8949 and 8953?
Answer: LCM of 8949 and 8953 is 80120397.
2. What are the Factors of 8949?
Answer: Factors of 8949 are 1, 3, 19, 57, 157, 471, 2983, 8949. There are 8 integers that are factors of 8949. The greatest factor of 8949 is 8949.
3. What are the Factors of 8953?
Answer: Factors of 8953 are 1, 7, 1279, 8953. There are 4 integers that are factors of 8953. The greatest factor of 8953 is 8953.
4. How to Find the LCM of 8949 and 8953?
Answer:
Least Common Multiple of 8949 and 8953 = 80120397
Step 1: Find the prime factorization of 8949
8949 = 3 x 19 x 157
Step 2: Find the prime factorization of 8953
8953 = 7 x 1279
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 80120397 = 3 x 7 x 19 x 157 x 1279
Step 4: Therefore, the least common multiple of 8949 and 8953 is 80120397.