Least Common Multiple of 949 and 955
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 955 the smallest integer that is 906295 that is divisible by both numbers.
Least Common Multiple (LCM) of 949 and 955 is 906295.
LCM(949,955) = 906295
LCM of 949 and 955
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 949 and 955 by Prime method
- Least Common Multiple of 949 and 955 with GCF Formula
LCM of 949 and 955 is 906295
Least common multiple can be found by multiplying the highest exponent prime factors of 949 and 955. First we will calculate the prime factors of 949 and 955.
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 955
| 5 | 955 |
| 191 | 191 |
| 1 |
Prime factors of 955 are 5,191. Prime factorization of 955 in exponential form is:
955 = 51×1911
Now multiplying the highest exponent prime factors to calculate the LCM of 949 and 955.
LCM(949,955) = 51×131×731×1911
LCM(949,955) = 906295
Factors of 949
List of positive integer factors of 949 that divides 949 without a remainder.
1, 13, 73, 949
Factors of 955
List of positive integer factors of 955 that divides 955 without a remainder.
1, 5, 191, 955
Least Common Multiple of 949 and 955 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 955, than apply into the LCM equation.
GCF(949,955) = 1
LCM(949,955) = ( 949 × 955) / 1
LCM(949,955) = 906295 / 1
LCM(949,955) = 906295
Properties of LCM 949 and 955
(i) The LCM of 955 and 949 is associative
LCM of 949 and 955 = LCM of 955 and 949
Related Least Common Multiples of 949
Related Least Common Multiples of 955
Frequently Asked Questions on LCM of 949 and 955
1. What is the LCM of 949 and 955?
Answer: LCM of 949 and 955 is 906295.
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 955?
Answer: Factors of 955 are 1, 5, 191, 955. There are 4 integers that are factors of 955. The greatest factor of 955 is 955.
4. How to Find the LCM of 949 and 955?
Answer:
Least Common Multiple of 949 and 955 = 906295
Step 1: Find the prime factorization of 949
949 = 13 x 73
Step 2: Find the prime factorization of 955
955 = 5 x 191
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 906295 = 5 x 13 x 73 x 191
Step 4: Therefore, the least common multiple of 949 and 955 is 906295.
