Least Common Multiple (LCM) of 127 and 136
The least common multiple (LCM) of 127 and 136 is 17272.
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 136?
First, calculate the GCD of 127 and 136 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 127 ÷ 136 = 0 remainder 127 |
| 2 | 136 ÷ 127 = 1 remainder 9 |
| 3 | 127 ÷ 9 = 14 remainder 1 |
| 4 | 9 ÷ 1 = 9 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 171 and 171 | 171 |
| 129 and 85 | 10965 |
| 142 and 104 | 7384 |
| 169 and 67 | 11323 |
| 118 and 135 | 15930 |