Least Common Multiple (LCM) of 156 and 155
The least common multiple (LCM) of 156 and 155 is 24180.
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 156 and 155?
First, calculate the GCD of 156 and 155 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 156 ÷ 155 = 1 remainder 1 |
| 2 | 155 ÷ 1 = 155 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 26 and 54 | 702 |
| 107 and 38 | 4066 |
| 169 and 89 | 15041 |
| 163 and 42 | 6846 |
| 199 and 112 | 22288 |