Least Common Multiple of 954 and 959
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 954 and 959 the smallest integer that is 914886 that is divisible by both numbers.
Least Common Multiple (LCM) of 954 and 959 is 914886.
LCM(954,959) = 914886
LCM of 954 and 959
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 954 and 959 by Prime method
- Least Common Multiple of 954 and 959 with GCF Formula
LCM of 954 and 959 is 914886
Least common multiple can be found by multiplying the highest exponent prime factors of 954 and 959. First we will calculate the prime factors of 954 and 959.
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
Prime Factorization of 959
| 7 | 959 |
| 137 | 137 |
| 1 |
Prime factors of 959 are 7,137. Prime factorization of 959 in exponential form is:
959 = 71×1371
Now multiplying the highest exponent prime factors to calculate the LCM of 954 and 959.
LCM(954,959) = 21×32×71×531×1371
LCM(954,959) = 914886
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
Factors of 959
List of positive integer factors of 959 that divides 959 without a remainder.
1, 7, 137, 959
Least Common Multiple of 954 and 959 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 954 and 959, than apply into the LCM equation.
GCF(954,959) = 1
LCM(954,959) = ( 954 × 959) / 1
LCM(954,959) = 914886 / 1
LCM(954,959) = 914886
Properties of LCM 954 and 959
(i) The LCM of 959 and 954 is associative
LCM of 954 and 959 = LCM of 959 and 954
Related Least Common Multiples of 954
Related Least Common Multiples of 959
Frequently Asked Questions on LCM of 954 and 959
1. What is the LCM of 954 and 959?
Answer: LCM of 954 and 959 is 914886.
2. 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.
3. What are the Factors of 959?
Answer: Factors of 959 are 1, 7, 137, 959. There are 4 integers that are factors of 959. The greatest factor of 959 is 959.
4. How to Find the LCM of 954 and 959?
Answer:
Least Common Multiple of 954 and 959 = 914886
Step 1: Find the prime factorization of 954
954 = 2 x 3 x 3 x 53
Step 2: Find the prime factorization of 959
959 = 7 x 137
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 914886 = 2 x 3 x 3 x 7 x 53 x 137
Step 4: Therefore, the least common multiple of 954 and 959 is 914886.