Least Common Multiple of 651 and 655
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 651 and 655 the smallest integer that is 426405 that is divisible by both numbers.
Least Common Multiple (LCM) of 651 and 655 is 426405.
LCM(651,655) = 426405
LCM of 651 and 655
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 651 and 655 by Prime method
- Least Common Multiple of 651 and 655 with GCF Formula
LCM of 651 and 655 is 426405
Least common multiple can be found by multiplying the highest exponent prime factors of 651 and 655. First we will calculate the prime factors of 651 and 655.
Prime Factorization of 651
| 3 | 651 |
| 7 | 217 |
| 31 | 31 |
| 1 |
Prime factors of 651 are 3, 7,31. Prime factorization of 651 in exponential form is:
651 = 31×71×311
Prime Factorization of 655
| 5 | 655 |
| 131 | 131 |
| 1 |
Prime factors of 655 are 5,131. Prime factorization of 655 in exponential form is:
655 = 51×1311
Now multiplying the highest exponent prime factors to calculate the LCM of 651 and 655.
LCM(651,655) = 31×51×71×311×1311
LCM(651,655) = 426405
Factors of 651
List of positive integer factors of 651 that divides 651 without a remainder.
1, 3, 7, 21, 31, 93, 217, 651
Factors of 655
List of positive integer factors of 655 that divides 655 without a remainder.
1, 5, 131, 655
Least Common Multiple of 651 and 655 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 651 and 655, than apply into the LCM equation.
GCF(651,655) = 1
LCM(651,655) = ( 651 × 655) / 1
LCM(651,655) = 426405 / 1
LCM(651,655) = 426405
Properties of LCM 651 and 655
(i) The LCM of 655 and 651 is associative
LCM of 651 and 655 = LCM of 655 and 651
Related Least Common Multiples of 651
Related Least Common Multiples of 655
Frequently Asked Questions on LCM of 651 and 655
1. What is the LCM of 651 and 655?
Answer: LCM of 651 and 655 is 426405.
2. What are the Factors of 651?
Answer: Factors of 651 are 1, 3, 7, 21, 31, 93, 217, 651. There are 8 integers that are factors of 651. The greatest factor of 651 is 651.
3. What are the Factors of 655?
Answer: Factors of 655 are 1, 5, 131, 655. There are 4 integers that are factors of 655. The greatest factor of 655 is 655.
4. How to Find the LCM of 651 and 655?
Answer:
Least Common Multiple of 651 and 655 = 426405
Step 1: Find the prime factorization of 651
651 = 3 x 7 x 31
Step 2: Find the prime factorization of 655
655 = 5 x 131
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 426405 = 3 x 5 x 7 x 31 x 131
Step 4: Therefore, the least common multiple of 651 and 655 is 426405.
