Least Common Multiple (LCM) of 127 and 169
The least common multiple (LCM) of 127 and 169 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 127 and 169?
First, calculate the GCD of 127 and 169 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 127 ÷ 169 = 0 remainder 127 |
| 2 | 169 ÷ 127 = 1 remainder 42 |
| 3 | 127 ÷ 42 = 3 remainder 1 |
| 4 | 42 ÷ 1 = 42 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 32 and 180 | 1440 |
| 75 and 97 | 7275 |
| 49 and 16 | 784 |
| 174 and 190 | 16530 |
| 194 and 143 | 27742 |