Least Common Multiple (LCM) of 155 and 136
The least common multiple (LCM) of 155 and 136 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 155 and 136?
First, calculate the GCD of 155 and 136 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 155 ÷ 136 = 1 remainder 19 |
| 2 | 136 ÷ 19 = 7 remainder 3 |
| 3 | 19 ÷ 3 = 6 remainder 1 |
| 4 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 11 and 13 | 143 |
| 56 and 153 | 8568 |
| 194 and 23 | 4462 |
| 102 and 67 | 6834 |
| 27 and 42 | 378 |