Least Common Multiple (LCM) of 155 and 77
The least common multiple (LCM) of 155 and 77 is 11935.
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 77?
First, calculate the GCD of 155 and 77 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 155 ÷ 77 = 2 remainder 1 |
| 2 | 77 ÷ 1 = 77 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 114 and 55 | 6270 |
| 128 and 113 | 14464 |
| 76 and 51 | 3876 |
| 60 and 67 | 4020 |
| 196 and 112 | 784 |