Least Common Multiple (LCM) of 155 and 79
The least common multiple (LCM) of 155 and 79 is 12245.
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 79?
First, calculate the GCD of 155 and 79 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 155 ÷ 79 = 1 remainder 76 |
| 2 | 79 ÷ 76 = 1 remainder 3 |
| 3 | 76 ÷ 3 = 25 remainder 1 |
| 4 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 71 and 166 | 11786 |
| 87 and 109 | 9483 |
| 15 and 72 | 360 |
| 113 and 197 | 22261 |
| 29 and 37 | 1073 |