Least Common Multiple (LCM) of 169 and 127
The least common multiple (LCM) of 169 and 127 is 21463.
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 169 and 127?
First, calculate the GCD of 169 and 127 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 169 ÷ 127 = 1 remainder 42 |
| 2 | 127 ÷ 42 = 3 remainder 1 |
| 3 | 42 ÷ 1 = 42 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 132 and 157 | 20724 |
| 82 and 96 | 3936 |
| 159 and 178 | 28302 |
| 100 and 163 | 16300 |
| 18 and 152 | 1368 |