Least Common Multiple (LCM) of 127 and 153
The least common multiple (LCM) of 127 and 153 is 19431.
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 153?
First, calculate the GCD of 127 and 153 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 127 ÷ 153 = 0 remainder 127 |
| 2 | 153 ÷ 127 = 1 remainder 26 |
| 3 | 127 ÷ 26 = 4 remainder 23 |
| 4 | 26 ÷ 23 = 1 remainder 3 |
| 5 | 23 ÷ 3 = 7 remainder 2 |
| 6 | 3 ÷ 2 = 1 remainder 1 |
| 7 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 134 and 26 | 1742 |
| 197 and 158 | 31126 |
| 151 and 118 | 17818 |
| 101 and 131 | 13231 |
| 141 and 34 | 4794 |