Least Common Multiple of 662 and 667
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 662 and 667 the smallest integer that is 441554 that is divisible by both numbers.
Least Common Multiple (LCM) of 662 and 667 is 441554.
LCM(662,667) = 441554
LCM of 662 and 667
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 662 and 667 by Prime method
- Least Common Multiple of 662 and 667 with GCF Formula
LCM of 662 and 667 is 441554
Least common multiple can be found by multiplying the highest exponent prime factors of 662 and 667. First we will calculate the prime factors of 662 and 667.
Prime Factorization of 662
| 2 | 662 |
| 331 | 331 |
| 1 |
Prime factors of 662 are 2,331. Prime factorization of 662 in exponential form is:
662 = 21×3311
Prime Factorization of 667
| 23 | 667 |
| 29 | 29 |
| 1 |
Prime factors of 667 are 23,29. Prime factorization of 667 in exponential form is:
667 = 231×291
Now multiplying the highest exponent prime factors to calculate the LCM of 662 and 667.
LCM(662,667) = 21×231×291×3311
LCM(662,667) = 441554
Factors of 662
List of positive integer factors of 662 that divides 662 without a remainder.
1, 2, 331, 662
Factors of 667
List of positive integer factors of 667 that divides 667 without a remainder.
1, 23, 29, 667
Least Common Multiple of 662 and 667 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 662 and 667, than apply into the LCM equation.
GCF(662,667) = 1
LCM(662,667) = ( 662 × 667) / 1
LCM(662,667) = 441554 / 1
LCM(662,667) = 441554
Properties of LCM 662 and 667
(i) The LCM of 667 and 662 is associative
LCM of 662 and 667 = LCM of 667 and 662
Related Least Common Multiples of 662
Related Least Common Multiples of 667
Frequently Asked Questions on LCM of 662 and 667
1. What is the LCM of 662 and 667?
Answer: LCM of 662 and 667 is 441554.
2. What are the Factors of 662?
Answer: Factors of 662 are 1, 2, 331, 662. There are 4 integers that are factors of 662. The greatest factor of 662 is 662.
3. What are the Factors of 667?
Answer: Factors of 667 are 1, 23, 29, 667. There are 4 integers that are factors of 667. The greatest factor of 667 is 667.
4. How to Find the LCM of 662 and 667?
Answer:
Least Common Multiple of 662 and 667 = 441554
Step 1: Find the prime factorization of 662
662 = 2 x 331
Step 2: Find the prime factorization of 667
667 = 23 x 29
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 441554 = 2 x 23 x 29 x 331
Step 4: Therefore, the least common multiple of 662 and 667 is 441554.
