Least Common Multiple of 62 and 69
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 62 and 69 the smallest integer that is 4278 that is divisible by both numbers.
Least Common Multiple (LCM) of 62 and 69 is 4278.
LCM(62,69) = 4278
LCM of 62 and 69
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 62 and 69 by Prime method
- Least Common Multiple of 62 and 69 with GCF Formula
LCM of 62 and 69 is 4278
Least common multiple can be found by multiplying the highest exponent prime factors of 62 and 69. First we will calculate the prime factors of 62 and 69.
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
Prime Factorization of 69
| 3 | 69 |
| 23 | 23 |
| 1 |
Prime factors of 69 are 3,23. Prime factorization of 69 in exponential form is:
69 = 31×231
Now multiplying the highest exponent prime factors to calculate the LCM of 62 and 69.
LCM(62,69) = 21×31×231×311
LCM(62,69) = 4278
Factors of 62
List of positive integer factors of 62 that divides 62 without a remainder.
1, 2, 31, 62
Factors of 69
List of positive integer factors of 69 that divides 69 without a remainder.
1, 3, 23, 69
Least Common Multiple of 62 and 69 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62 and 69, than apply into the LCM equation.
GCF(62,69) = 1
LCM(62,69) = ( 62 × 69) / 1
LCM(62,69) = 4278 / 1
LCM(62,69) = 4278
Properties of LCM 62 and 69
(i) The LCM of 69 and 62 is associative
LCM of 62 and 69 = LCM of 69 and 62
Related Least Common Multiples of 62
Related Least Common Multiples of 69
Frequently Asked Questions on LCM of 62 and 69
1. What is the LCM of 62 and 69?
Answer: LCM of 62 and 69 is 4278.
2. 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.
3. What are the Factors of 69?
Answer: Factors of 69 are 1, 3, 23, 69. There are 4 integers that are factors of 69. The greatest factor of 69 is 69.
4. How to Find the LCM of 62 and 69?
Answer:
Least Common Multiple of 62 and 69 = 4278
Step 1: Find the prime factorization of 62
62 = 2 x 31
Step 2: Find the prime factorization of 69
69 = 3 x 23
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 4278 = 2 x 3 x 23 x 31
Step 4: Therefore, the least common multiple of 62 and 69 is 4278.