Least Common Multiple of 42 and 62
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 62 the smallest integer that is 1302 that is divisible by both numbers.
Least Common Multiple (LCM) of 42 and 62 is 1302.
LCM(42,62) = 1302
LCM of 42 and 62
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 42 and 62 by Prime method
- Least Common Multiple of 42 and 62 with GCF Formula
LCM of 42 and 62 is 1302
Least common multiple can be found by multiplying the highest exponent prime factors of 42 and 62. First we will calculate the prime factors of 42 and 62.
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 62
| 2 | 62 |
| 31 | 31 |
| 1 |
Prime factors of 62 are 2,31. Prime factorization of 62 in exponential form is:
62 = 21×311
Now multiplying the highest exponent prime factors to calculate the LCM of 42 and 62.
LCM(42,62) = 21×31×71×311
LCM(42,62) = 1302
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 62
List of positive integer factors of 62 that divides 62 without a remainder.
1, 2, 31, 62
Least Common Multiple of 42 and 62 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 62, than apply into the LCM equation.
GCF(42,62) = 2
LCM(42,62) = ( 42 × 62) / 2
LCM(42,62) = 2604 / 2
LCM(42,62) = 1302
Properties of LCM 42 and 62
(i) The LCM of 62 and 42 is associative
LCM of 42 and 62 = LCM of 62 and 42
Related Least Common Multiples of 42
Related Least Common Multiples of 62
Frequently Asked Questions on LCM of 42 and 62
1. What is the LCM of 42 and 62?
Answer: LCM of 42 and 62 is 1302.
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 62?
Answer: Factors of 62 are 1, 2, 31, 62. There are 4 integers that are factors of 62. The greatest factor of 62 is 62.
4. How to Find the LCM of 42 and 62?
Answer:
Least Common Multiple of 42 and 62 = 1302
Step 1: Find the prime factorization of 42
42 = 2 x 3 x 7
Step 2: Find the prime factorization of 62
62 = 2 x 31
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1302 = 2 x 3 x 7 x 31
Step 4: Therefore, the least common multiple of 42 and 62 is 1302.
