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 952 the smallest integer that is 905352 that is divisible by both numbers.
Least Common Multiple (LCM) of 951 and 952 is 905352.
LCM(951,952) = 905352
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 951 and 952. First we will calculate the prime factors of 951 and 952.
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 952
2 | 952 |
2 | 476 |
2 | 238 |
7 | 119 |
17 | 17 |
1 |
Prime factors of 952 are 2, 7,17. Prime factorization of 952 in exponential form is:
952 = 23×71×171
Now multiplying the highest exponent prime factors to calculate the LCM of 951 and 952.
LCM(951,952) = 23×31×71×171×3171
LCM(951,952) = 905352
Factors of 951
List of positive integer factors of 951 that divides 951 without a remainder.
1, 3, 317, 951
Factors of 952
List of positive integer factors of 952 that divides 952 without a remainder.
1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 951 and 952, than apply into the LCM equation.
GCF(951,952) = 1
LCM(951,952) = ( 951 × 952) / 1
LCM(951,952) = 905352 / 1
LCM(951,952) = 905352
(i) The LCM of 952 and 951 is associative
LCM of 951 and 952 = LCM of 952 and 951
1. What is the LCM of 951 and 952?
Answer: LCM of 951 and 952 is 905352.
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 952?
Answer: Factors of 952 are 1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952. There are 16 integers that are factors of 952. The greatest factor of 952 is 952.
4. How to Find the LCM of 951 and 952?
Answer:
Least Common Multiple of 951 and 952 = 905352
Step 1: Find the prime factorization of 951
951 = 3 x 317
Step 2: Find the prime factorization of 952
952 = 2 x 2 x 2 x 7 x 17
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 905352 = 2 x 2 x 2 x 3 x 7 x 17 x 317
Step 4: Therefore, the least common multiple of 951 and 952 is 905352.