Least Common Multiple (LCM) of 127 and 152
The least common multiple (LCM) of 127 and 152 is 19304.
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 152?
First, calculate the GCD of 127 and 152 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 127 ÷ 152 = 0 remainder 127 |
| 2 | 152 ÷ 127 = 1 remainder 25 |
| 3 | 127 ÷ 25 = 5 remainder 2 |
| 4 | 25 ÷ 2 = 12 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 138 and 101 | 13938 |
| 138 and 179 | 24702 |
| 137 and 159 | 21783 |
| 121 and 51 | 6171 |
| 35 and 21 | 105 |