Least Common Multiple (LCM) of 153 and 137
The least common multiple (LCM) of 153 and 137 is 20961.
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 153 and 137?
First, calculate the GCD of 153 and 137 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 153 ÷ 137 = 1 remainder 16 |
| 2 | 137 ÷ 16 = 8 remainder 9 |
| 3 | 16 ÷ 9 = 1 remainder 7 |
| 4 | 9 ÷ 7 = 1 remainder 2 |
| 5 | 7 ÷ 2 = 3 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 44 and 142 | 3124 |
| 44 and 17 | 748 |
| 82 and 192 | 7872 |
| 189 and 193 | 36477 |
| 23 and 21 | 483 |