Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 950 and 952 the smallest integer that is 452200 that is divisible by both numbers.
Least Common Multiple (LCM) of 950 and 952 is 452200.
LCM(950,952) = 452200
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 950 and 952. First we will calculate the prime factors of 950 and 952.
Prime Factorization of 950
2 | 950 |
5 | 475 |
5 | 95 |
19 | 19 |
1 |
Prime factors of 950 are 2, 5,19. Prime factorization of 950 in exponential form is:
950 = 21×52×191
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 950 and 952.
LCM(950,952) = 23×52×71×171×191
LCM(950,952) = 452200
Factors of 950
List of positive integer factors of 950 that divides 950 without a remainder.
1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950
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 950 and 952, than apply into the LCM equation.
GCF(950,952) = 2
LCM(950,952) = ( 950 × 952) / 2
LCM(950,952) = 904400 / 2
LCM(950,952) = 452200
(i) The LCM of 952 and 950 is associative
LCM of 950 and 952 = LCM of 952 and 950
1. What is the LCM of 950 and 952?
Answer: LCM of 950 and 952 is 452200.
2. What are the Factors of 950?
Answer: Factors of 950 are 1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950. There are 12 integers that are factors of 950. The greatest factor of 950 is 950.
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 950 and 952?
Answer:
Least Common Multiple of 950 and 952 = 452200
Step 1: Find the prime factorization of 950
950 = 2 x 5 x 5 x 19
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 = 452200 = 2 x 2 x 2 x 5 x 5 x 7 x 17 x 19
Step 4: Therefore, the least common multiple of 950 and 952 is 452200.