Least Common Multiple (LCM) of 127 and 70
The least common multiple (LCM) of 127 and 70 is 8890.
What is the Least Common Multiple (LCM)?
The LCM of two integers is the smallest positive integer that is divisible by both numbers. It is often used to find common denominators and solve problems involving periodic events.
Formula for LCM
The LCM of two numbers can be calculated using their GCD:
LCM(a, b) = |a × b| ÷ GCD(a, b)
How to Calculate the LCM of 127 and 70?
First, calculate the GCD of 127 and 70 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 127 ÷ 70 = 1 remainder 57 |
| 2 | 70 ÷ 57 = 1 remainder 13 |
| 3 | 57 ÷ 13 = 4 remainder 5 |
| 4 | 13 ÷ 5 = 2 remainder 3 |
| 5 | 5 ÷ 3 = 1 remainder 2 |
| 6 | 3 ÷ 2 = 1 remainder 1 |
| 7 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 107 and 40 | 4280 |
| 121 and 193 | 23353 |
| 137 and 133 | 18221 |
| 77 and 76 | 5852 |
| 181 and 97 | 17557 |