Least Common Multiple (LCM) of 136 and 155
The least common multiple (LCM) of 136 and 155 is 21080.
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 155?
First, calculate the GCD of 136 and 155 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 136 ÷ 155 = 0 remainder 136 |
| 2 | 155 ÷ 136 = 1 remainder 19 |
| 3 | 136 ÷ 19 = 7 remainder 3 |
| 4 | 19 ÷ 3 = 6 remainder 1 |
| 5 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 171 and 140 | 23940 |
| 55 and 65 | 715 |
| 121 and 75 | 9075 |
| 68 and 87 | 5916 |
| 55 and 108 | 5940 |