Least Common Multiple of 943 and 948
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 943 and 948 the smallest integer that is 893964 that is divisible by both numbers.
Least Common Multiple (LCM) of 943 and 948 is 893964.
LCM(943,948) = 893964
LCM of 943 and 948
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 943 and 948 by Prime method
- Least Common Multiple of 943 and 948 with GCF Formula
LCM of 943 and 948 is 893964
Least common multiple can be found by multiplying the highest exponent prime factors of 943 and 948. First we will calculate the prime factors of 943 and 948.
Prime Factorization of 943
| 23 | 943 |
| 41 | 41 |
| 1 |
Prime factors of 943 are 23,41. Prime factorization of 943 in exponential form is:
943 = 231×411
Prime Factorization of 948
| 2 | 948 |
| 2 | 474 |
| 3 | 237 |
| 79 | 79 |
| 1 |
Prime factors of 948 are 2, 3,79. Prime factorization of 948 in exponential form is:
948 = 22×31×791
Now multiplying the highest exponent prime factors to calculate the LCM of 943 and 948.
LCM(943,948) = 22×31×231×411×791
LCM(943,948) = 893964
Factors of 943
List of positive integer factors of 943 that divides 943 without a remainder.
1, 23, 41, 943
Factors of 948
List of positive integer factors of 948 that divides 948 without a remainder.
1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948
Least Common Multiple of 943 and 948 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 943 and 948, than apply into the LCM equation.
GCF(943,948) = 1
LCM(943,948) = ( 943 × 948) / 1
LCM(943,948) = 893964 / 1
LCM(943,948) = 893964
Properties of LCM 943 and 948
(i) The LCM of 948 and 943 is associative
LCM of 943 and 948 = LCM of 948 and 943
Related Least Common Multiples of 943
Related Least Common Multiples of 948
Frequently Asked Questions on LCM of 943 and 948
1. What is the LCM of 943 and 948?
Answer: LCM of 943 and 948 is 893964.
2. What are the Factors of 943?
Answer: Factors of 943 are 1, 23, 41, 943. There are 4 integers that are factors of 943. The greatest factor of 943 is 943.
3. What are the Factors of 948?
Answer: Factors of 948 are 1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948. There are 12 integers that are factors of 948. The greatest factor of 948 is 948.
4. How to Find the LCM of 943 and 948?
Answer:
Least Common Multiple of 943 and 948 = 893964
Step 1: Find the prime factorization of 943
943 = 23 x 41
Step 2: Find the prime factorization of 948
948 = 2 x 2 x 3 x 79
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 893964 = 2 x 2 x 3 x 23 x 41 x 79
Step 4: Therefore, the least common multiple of 943 and 948 is 893964.