Least Common Multiple (LCM) of 158 and 169
The least common multiple (LCM) of 158 and 169 is 26702.
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 158 and 169?
First, calculate the GCD of 158 and 169 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 158 ÷ 169 = 0 remainder 158 |
| 2 | 169 ÷ 158 = 1 remainder 11 |
| 3 | 158 ÷ 11 = 14 remainder 4 |
| 4 | 11 ÷ 4 = 2 remainder 3 |
| 5 | 4 ÷ 3 = 1 remainder 1 |
| 6 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 145 and 137 | 19865 |
| 159 and 141 | 7473 |
| 187 and 98 | 18326 |
| 126 and 40 | 2520 |
| 165 and 126 | 6930 |