Least Common Multiple (LCM) of 119 and 155
The least common multiple (LCM) of 119 and 155 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 119 and 155?
First, calculate the GCD of 119 and 155 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 119 ÷ 155 = 0 remainder 119 |
| 2 | 155 ÷ 119 = 1 remainder 36 |
| 3 | 119 ÷ 36 = 3 remainder 11 |
| 4 | 36 ÷ 11 = 3 remainder 3 |
| 5 | 11 ÷ 3 = 3 remainder 2 |
| 6 | 3 ÷ 2 = 1 remainder 1 |
| 7 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 116 and 187 | 21692 |
| 81 and 90 | 810 |
| 108 and 47 | 5076 |
| 65 and 43 | 2795 |
| 71 and 200 | 14200 |