Least Common Multiple (LCM) of 155 and 49
The least common multiple (LCM) of 155 and 49 is 7595.
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 49?
First, calculate the GCD of 155 and 49 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 155 ÷ 49 = 3 remainder 8 |
| 2 | 49 ÷ 8 = 6 remainder 1 |
| 3 | 8 ÷ 1 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 153 and 67 | 10251 |
| 159 and 17 | 2703 |
| 82 and 99 | 8118 |
| 183 and 54 | 3294 |
| 52 and 13 | 52 |