Least Common Multiple of 4935 and 4942
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4935 and 4942 the smallest integer that is 3484110 that is divisible by both numbers.
Least Common Multiple (LCM) of 4935 and 4942 is 3484110.
LCM(4935,4942) = 3484110
LCM of 4935 and 4942
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 4935 and 4942 by Prime method
- Least Common Multiple of 4935 and 4942 with GCF Formula
LCM of 4935 and 4942 is 3484110
Least common multiple can be found by multiplying the highest exponent prime factors of 4935 and 4942. First we will calculate the prime factors of 4935 and 4942.
Prime Factorization of 4935
| 3 | 4935 |
| 5 | 1645 |
| 7 | 329 |
| 47 | 47 |
| 1 |
Prime factors of 4935 are 3, 5, 7,47. Prime factorization of 4935 in exponential form is:
4935 = 31×51×71×471
Prime Factorization of 4942
| 2 | 4942 |
| 7 | 2471 |
| 353 | 353 |
| 1 |
Prime factors of 4942 are 2, 7,353. Prime factorization of 4942 in exponential form is:
4942 = 21×71×3531
Now multiplying the highest exponent prime factors to calculate the LCM of 4935 and 4942.
LCM(4935,4942) = 21×31×51×71×471×3531
LCM(4935,4942) = 3484110
Factors of 4935
List of positive integer factors of 4935 that divides 4935 without a remainder.
1, 3, 5, 7, 15, 21, 35, 47, 105, 141, 235, 329, 705, 987, 1645, 4935
Factors of 4942
List of positive integer factors of 4942 that divides 4942 without a remainder.
1, 2, 7, 14, 353, 706, 2471, 4942
Least Common Multiple of 4935 and 4942 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4935 and 4942, than apply into the LCM equation.
GCF(4935,4942) = 7
LCM(4935,4942) = ( 4935 × 4942) / 7
LCM(4935,4942) = 24388770 / 7
LCM(4935,4942) = 3484110
Properties of LCM 4935 and 4942
(i) The LCM of 4942 and 4935 is associative
LCM of 4935 and 4942 = LCM of 4942 and 4935
Related Least Common Multiples of 4935
Related Least Common Multiples of 4942
Frequently Asked Questions on LCM of 4935 and 4942
1. What is the LCM of 4935 and 4942?
Answer: LCM of 4935 and 4942 is 3484110.
2. What are the Factors of 4935?
Answer: Factors of 4935 are 1, 3, 5, 7, 15, 21, 35, 47, 105, 141, 235, 329, 705, 987, 1645, 4935. There are 16 integers that are factors of 4935. The greatest factor of 4935 is 4935.
3. What are the Factors of 4942?
Answer: Factors of 4942 are 1, 2, 7, 14, 353, 706, 2471, 4942. There are 8 integers that are factors of 4942. The greatest factor of 4942 is 4942.
4. How to Find the LCM of 4935 and 4942?
Answer:
Least Common Multiple of 4935 and 4942 = 3484110
Step 1: Find the prime factorization of 4935
4935 = 3 x 5 x 7 x 47
Step 2: Find the prime factorization of 4942
4942 = 2 x 7 x 353
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 3484110 = 2 x 3 x 5 x 7 x 47 x 353
Step 4: Therefore, the least common multiple of 4935 and 4942 is 3484110.