Least Common Multiple (LCM) of 137 and 59
The least common multiple (LCM) of 137 and 59 is 8083.
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 137 and 59?
First, calculate the GCD of 137 and 59 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 137 ÷ 59 = 2 remainder 19 |
| 2 | 59 ÷ 19 = 3 remainder 2 |
| 3 | 19 ÷ 2 = 9 remainder 1 |
| 4 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 128 and 194 | 12416 |
| 106 and 170 | 9010 |
| 166 and 29 | 4814 |
| 150 and 69 | 3450 |
| 108 and 161 | 17388 |