Least Common Multiple (LCM) of 136 and 176
The least common multiple (LCM) of 136 and 176 is 2992.
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 136 and 176?
First, calculate the GCD of 136 and 176 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 136 ÷ 176 = 0 remainder 136 |
| 2 | 176 ÷ 136 = 1 remainder 40 |
| 3 | 136 ÷ 40 = 3 remainder 16 |
| 4 | 40 ÷ 16 = 2 remainder 8 |
| 5 | 16 ÷ 8 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 96 and 138 | 2208 |
| 109 and 170 | 18530 |
| 17 and 137 | 2329 |
| 91 and 74 | 6734 |
| 76 and 87 | 6612 |