Least Common Multiple of 56 and 61
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 56 and 61 the smallest integer that is 3416 that is divisible by both numbers.
Least Common Multiple (LCM) of 56 and 61 is 3416.
LCM(56,61) = 3416
LCM of 56 and 61
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 56 and 61 by Prime method
- Least Common Multiple of 56 and 61 with GCF Formula
LCM of 56 and 61 is 3416
Least common multiple can be found by multiplying the highest exponent prime factors of 56 and 61. First we will calculate the prime factors of 56 and 61.
Prime Factorization of 56
| 2 | 56 |
| 2 | 28 |
| 2 | 14 |
| 7 | 7 |
| 1 |
Prime factors of 56 are 2,7. Prime factorization of 56 in exponential form is:
56 = 23×71
Prime Factorization of 61
| 61 | 61 |
| 1 |
Prime factors of 61 are 61. Prime factorization of 61 in exponential form is:
61 = 611
Now multiplying the highest exponent prime factors to calculate the LCM of 56 and 61.
LCM(56,61) = 23×71×611
LCM(56,61) = 3416
Factors of 56
List of positive integer factors of 56 that divides 56 without a remainder.
1, 2, 4, 7, 8, 14, 28, 56
Factors of 61
List of positive integer factors of 61 that divides 61 without a remainder.
1, 61
Least Common Multiple of 56 and 61 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56 and 61, than apply into the LCM equation.
GCF(56,61) = 1
LCM(56,61) = ( 56 × 61) / 1
LCM(56,61) = 3416 / 1
LCM(56,61) = 3416
Properties of LCM 56 and 61
(i) The LCM of 61 and 56 is associative
LCM of 56 and 61 = LCM of 61 and 56
Related Least Common Multiples of 56
Related Least Common Multiples of 61
Frequently Asked Questions on LCM of 56 and 61
1. What is the LCM of 56 and 61?
Answer: LCM of 56 and 61 is 3416.
2. What are the Factors of 56?
Answer: Factors of 56 are 1, 2, 4, 7, 8, 14, 28, 56. There are 8 integers that are factors of 56. The greatest factor of 56 is 56.
3. What are the Factors of 61?
Answer: Factors of 61 are 1, 61. There are 2 integers that are factors of 61. The greatest factor of 61 is 61.
4. How to Find the LCM of 56 and 61?
Answer:
Least Common Multiple of 56 and 61 = 3416
Step 1: Find the prime factorization of 56
56 = 2 x 2 x 2 x 7
Step 2: Find the prime factorization of 61
61 = 61
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 3416 = 2 x 2 x 2 x 7 x 61
Step 4: Therefore, the least common multiple of 56 and 61 is 3416.
