Least Common Multiple of 951 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 951 and 955 the smallest integer that is 908205 that is divisible by both numbers.
Least Common Multiple (LCM) of 951 and 955 is 908205.
LCM(951,955) = 908205
LCM of 951 and 955
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 951 and 955 by Prime method
- Least Common Multiple of 951 and 955 with GCF Formula
LCM of 951 and 955 is 908205
Least common multiple can be found by multiplying the highest exponent prime factors of 951 and 955. First we will calculate the prime factors of 951 and 955.
Prime Factorization of 951
| 3 | 951 |
| 317 | 317 |
| 1 |
Prime factors of 951 are 3,317. Prime factorization of 951 in exponential form is:
951 = 31×3171
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 951 and 955.
LCM(951,955) = 31×51×1911×3171
LCM(951,955) = 908205
Factors of 951
List of positive integer factors of 951 that divides 951 without a remainder.
1, 3, 317, 951
Factors of 955
List of positive integer factors of 955 that divides 955 without a remainder.
1, 5, 191, 955
Least Common Multiple of 951 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 951 and 955, than apply into the LCM equation.
GCF(951,955) = 1
LCM(951,955) = ( 951 × 955) / 1
LCM(951,955) = 908205 / 1
LCM(951,955) = 908205
Properties of LCM 951 and 955
(i) The LCM of 955 and 951 is associative
LCM of 951 and 955 = LCM of 955 and 951
Related Least Common Multiples of 951
Related Least Common Multiples of 955
Frequently Asked Questions on LCM of 951 and 955
1. What is the LCM of 951 and 955?
Answer: LCM of 951 and 955 is 908205.
2. What are the Factors of 951?
Answer: Factors of 951 are 1, 3, 317, 951. There are 4 integers that are factors of 951. The greatest factor of 951 is 951.
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 951 and 955?
Answer:
Least Common Multiple of 951 and 955 = 908205
Step 1: Find the prime factorization of 951
951 = 3 x 317
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 = 908205 = 3 x 5 x 191 x 317
Step 4: Therefore, the least common multiple of 951 and 955 is 908205.
