Least Common Multiple of 42 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 42 and 61 the smallest integer that is 2562 that is divisible by both numbers.
Least Common Multiple (LCM) of 42 and 61 is 2562.
LCM(42,61) = 2562
LCM of 42 and 61
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 42 and 61 by Prime method
- Least Common Multiple of 42 and 61 with GCF Formula
LCM of 42 and 61 is 2562
Least common multiple can be found by multiplying the highest exponent prime factors of 42 and 61. First we will calculate the prime factors of 42 and 61.
Prime Factorization of 42
| 2 | 42 |
| 3 | 21 |
| 7 | 7 |
| 1 |
Prime factors of 42 are 2, 3,7. Prime factorization of 42 in exponential form is:
42 = 21×31×71
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 42 and 61.
LCM(42,61) = 21×31×71×611
LCM(42,61) = 2562
Factors of 42
List of positive integer factors of 42 that divides 42 without a remainder.
1, 2, 3, 6, 7, 14, 21, 42
Factors of 61
List of positive integer factors of 61 that divides 61 without a remainder.
1, 61
Least Common Multiple of 42 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 42 and 61, than apply into the LCM equation.
GCF(42,61) = 1
LCM(42,61) = ( 42 × 61) / 1
LCM(42,61) = 2562 / 1
LCM(42,61) = 2562
Properties of LCM 42 and 61
(i) The LCM of 61 and 42 is associative
LCM of 42 and 61 = LCM of 61 and 42
Related Least Common Multiples of 42
Related Least Common Multiples of 61
Frequently Asked Questions on LCM of 42 and 61
1. What is the LCM of 42 and 61?
Answer: LCM of 42 and 61 is 2562.
2. What are the Factors of 42?
Answer: Factors of 42 are 1, 2, 3, 6, 7, 14, 21, 42. There are 8 integers that are factors of 42. The greatest factor of 42 is 42.
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 42 and 61?
Answer:
Least Common Multiple of 42 and 61 = 2562
Step 1: Find the prime factorization of 42
42 = 2 x 3 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 = 2562 = 2 x 3 x 7 x 61
Step 4: Therefore, the least common multiple of 42 and 61 is 2562.
