Least Common Multiple of 949 and 954
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 949 and 954 the smallest integer that is 905346 that is divisible by both numbers.
Least Common Multiple (LCM) of 949 and 954 is 905346.
LCM(949,954) = 905346
LCM of 949 and 954
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 949 and 954 by Prime method
- Least Common Multiple of 949 and 954 with GCF Formula
LCM of 949 and 954 is 905346
Least common multiple can be found by multiplying the highest exponent prime factors of 949 and 954. First we will calculate the prime factors of 949 and 954.
Prime Factorization of 949
| 13 | 949 |
| 73 | 73 |
| 1 |
Prime factors of 949 are 13,73. Prime factorization of 949 in exponential form is:
949 = 131×731
Prime Factorization of 954
| 2 | 954 |
| 3 | 477 |
| 3 | 159 |
| 53 | 53 |
| 1 |
Prime factors of 954 are 2, 3,53. Prime factorization of 954 in exponential form is:
954 = 21×32×531
Now multiplying the highest exponent prime factors to calculate the LCM of 949 and 954.
LCM(949,954) = 21×32×131×531×731
LCM(949,954) = 905346
Factors of 949
List of positive integer factors of 949 that divides 949 without a remainder.
1, 13, 73, 949
Factors of 954
List of positive integer factors of 954 that divides 954 without a remainder.
1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954
Least Common Multiple of 949 and 954 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 949 and 954, than apply into the LCM equation.
GCF(949,954) = 1
LCM(949,954) = ( 949 × 954) / 1
LCM(949,954) = 905346 / 1
LCM(949,954) = 905346
Properties of LCM 949 and 954
(i) The LCM of 954 and 949 is associative
LCM of 949 and 954 = LCM of 954 and 949
Related Least Common Multiples of 949
Related Least Common Multiples of 954
Frequently Asked Questions on LCM of 949 and 954
1. What is the LCM of 949 and 954?
Answer: LCM of 949 and 954 is 905346.
2. What are the Factors of 949?
Answer: Factors of 949 are 1, 13, 73, 949. There are 4 integers that are factors of 949. The greatest factor of 949 is 949.
3. What are the Factors of 954?
Answer: Factors of 954 are 1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954. There are 12 integers that are factors of 954. The greatest factor of 954 is 954.
4. How to Find the LCM of 949 and 954?
Answer:
Least Common Multiple of 949 and 954 = 905346
Step 1: Find the prime factorization of 949
949 = 13 x 73
Step 2: Find the prime factorization of 954
954 = 2 x 3 x 3 x 53
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 905346 = 2 x 3 x 3 x 13 x 53 x 73
Step 4: Therefore, the least common multiple of 949 and 954 is 905346.