Least Common Multiple (LCM) of 137 and 88
The least common multiple (LCM) of 137 and 88 is 12056.
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 88?
First, calculate the GCD of 137 and 88 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 137 ÷ 88 = 1 remainder 49 |
| 2 | 88 ÷ 49 = 1 remainder 39 |
| 3 | 49 ÷ 39 = 1 remainder 10 |
| 4 | 39 ÷ 10 = 3 remainder 9 |
| 5 | 10 ÷ 9 = 1 remainder 1 |
| 6 | 9 ÷ 1 = 9 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 184 and 24 | 552 |
| 86 and 29 | 2494 |
| 41 and 57 | 2337 |
| 54 and 89 | 4806 |
| 131 and 138 | 18078 |