Least Common Multiple (LCM) of 136 and 160
The least common multiple (LCM) of 136 and 160 is 2720.
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 160?
First, calculate the GCD of 136 and 160 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 136 ÷ 160 = 0 remainder 136 |
| 2 | 160 ÷ 136 = 1 remainder 24 |
| 3 | 136 ÷ 24 = 5 remainder 16 |
| 4 | 24 ÷ 16 = 1 remainder 8 |
| 5 | 16 ÷ 8 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 196 and 169 | 33124 |
| 176 and 198 | 1584 |
| 130 and 143 | 1430 |
| 120 and 59 | 7080 |
| 19 and 176 | 3344 |