Least Common Multiple of 644 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 644 and 651 the smallest integer that is 59892 that is divisible by both numbers.
Least Common Multiple (LCM) of 644 and 651 is 59892.
LCM(644,651) = 59892
LCM of 644 and 651
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 644 and 651 by Prime method
- Least Common Multiple of 644 and 651 with GCF Formula
LCM of 644 and 651 is 59892
Least common multiple can be found by multiplying the highest exponent prime factors of 644 and 651. First we will calculate the prime factors of 644 and 651.
Prime Factorization of 644
| 2 | 644 |
| 2 | 322 |
| 7 | 161 |
| 23 | 23 |
| 1 |
Prime factors of 644 are 2, 7,23. Prime factorization of 644 in exponential form is:
644 = 22×71×231
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 644 and 651.
LCM(644,651) = 22×31×71×231×311
LCM(644,651) = 59892
Factors of 644
List of positive integer factors of 644 that divides 644 without a remainder.
1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644
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 644 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 644 and 651, than apply into the LCM equation.
GCF(644,651) = 7
LCM(644,651) = ( 644 × 651) / 7
LCM(644,651) = 419244 / 7
LCM(644,651) = 59892
Properties of LCM 644 and 651
(i) The LCM of 651 and 644 is associative
LCM of 644 and 651 = LCM of 651 and 644
Related Least Common Multiples of 644
Related Least Common Multiples of 651
Frequently Asked Questions on LCM of 644 and 651
1. What is the LCM of 644 and 651?
Answer: LCM of 644 and 651 is 59892.
2. What are the Factors of 644?
Answer: Factors of 644 are 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644. There are 12 integers that are factors of 644. The greatest factor of 644 is 644.
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 644 and 651?
Answer:
Least Common Multiple of 644 and 651 = 59892
Step 1: Find the prime factorization of 644
644 = 2 x 2 x 7 x 23
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 = 59892 = 2 x 2 x 3 x 7 x 23 x 31
Step 4: Therefore, the least common multiple of 644 and 651 is 59892.