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 |
|---|---|
| 196 and 66 | 6468 |
| 135 and 103 | 13905 |
| 15 and 46 | 690 |
| 174 and 38 | 3306 |
| 147 and 150 | 7350 |