Least Common Multiple (LCM) of 137 and 154
The least common multiple (LCM) of 137 and 154 is 21098.
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 154?
First, calculate the GCD of 137 and 154 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 137 ÷ 154 = 0 remainder 137 |
| 2 | 154 ÷ 137 = 1 remainder 17 |
| 3 | 137 ÷ 17 = 8 remainder 1 |
| 4 | 17 ÷ 1 = 17 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 113 and 21 | 2373 |
| 80 and 140 | 560 |
| 131 and 132 | 17292 |
| 83 and 25 | 2075 |
| 51 and 86 | 4386 |