Least Common Multiple of 647 and 651
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 647 and 651 the smallest integer that is 421197 that is divisible by both numbers.
Least Common Multiple (LCM) of 647 and 651 is 421197.
LCM(647,651) = 421197
LCM of 647 and 651
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 647 and 651 by Prime method
- Least Common Multiple of 647 and 651 with GCF Formula
LCM of 647 and 651 is 421197
Least common multiple can be found by multiplying the highest exponent prime factors of 647 and 651. First we will calculate the prime factors of 647 and 651.
Prime Factorization of 647
| 647 | 647 |
| 1 |
Prime factors of 647 are 647. Prime factorization of 647 in exponential form is:
647 = 6471
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
Now multiplying the highest exponent prime factors to calculate the LCM of 647 and 651.
LCM(647,651) = 31×71×311×6471
LCM(647,651) = 421197
Factors of 647
List of positive integer factors of 647 that divides 647 without a remainder.
1, 647
Factors of 651
List of positive integer factors of 651 that divides 651 without a remainder.
1, 3, 7, 21, 31, 93, 217, 651
Least Common Multiple of 647 and 651 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 647 and 651, than apply into the LCM equation.
GCF(647,651) = 1
LCM(647,651) = ( 647 × 651) / 1
LCM(647,651) = 421197 / 1
LCM(647,651) = 421197
Properties of LCM 647 and 651
(i) The LCM of 651 and 647 is associative
LCM of 647 and 651 = LCM of 651 and 647
Related Least Common Multiples of 647
Related Least Common Multiples of 651
Frequently Asked Questions on LCM of 647 and 651
1. What is the LCM of 647 and 651?
Answer: LCM of 647 and 651 is 421197.
2. What are the Factors of 647?
Answer: Factors of 647 are 1, 647. There are 2 integers that are factors of 647. The greatest factor of 647 is 647.
3. 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.
4. How to Find the LCM of 647 and 651?
Answer:
Least Common Multiple of 647 and 651 = 421197
Step 1: Find the prime factorization of 647
647 = 647
Step 2: Find the prime factorization of 651
651 = 3 x 7 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 = 421197 = 3 x 7 x 31 x 647
Step 4: Therefore, the least common multiple of 647 and 651 is 421197.