Least Common Multiple (LCM) of 155 and 119
The least common multiple (LCM) of 155 and 119 is 18445.
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 119?
First, calculate the GCD of 155 and 119 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 155 ÷ 119 = 1 remainder 36 |
| 2 | 119 ÷ 36 = 3 remainder 11 |
| 3 | 36 ÷ 11 = 3 remainder 3 |
| 4 | 11 ÷ 3 = 3 remainder 2 |
| 5 | 3 ÷ 2 = 1 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 136 and 113 | 15368 |
| 56 and 58 | 1624 |
| 67 and 167 | 11189 |
| 52 and 28 | 364 |
| 55 and 96 | 5280 |