Least Common Multiple (LCM) of 159 and 137
The least common multiple (LCM) of 159 and 137 is 21783.
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 159 and 137?
First, calculate the GCD of 159 and 137 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 159 ÷ 137 = 1 remainder 22 |
| 2 | 137 ÷ 22 = 6 remainder 5 |
| 3 | 22 ÷ 5 = 4 remainder 2 |
| 4 | 5 ÷ 2 = 2 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 120 and 55 | 1320 |
| 165 and 39 | 2145 |
| 149 and 155 | 23095 |
| 151 and 46 | 6946 |
| 152 and 139 | 21128 |