Least Common Multiple (LCM) of 141 and 169
The least common multiple (LCM) of 141 and 169 is 23829.
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 141 and 169?
First, calculate the GCD of 141 and 169 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 141 ÷ 169 = 0 remainder 141 |
| 2 | 169 ÷ 141 = 1 remainder 28 |
| 3 | 141 ÷ 28 = 5 remainder 1 |
| 4 | 28 ÷ 1 = 28 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 106 and 92 | 4876 |
| 127 and 28 | 3556 |
| 128 and 175 | 22400 |
| 45 and 115 | 1035 |
| 101 and 110 | 11110 |