Least Common Multiple (LCM) of 119 and 149
The least common multiple (LCM) of 119 and 149 is 17731.
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 149?
First, calculate the GCD of 119 and 149 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 119 ÷ 149 = 0 remainder 119 |
| 2 | 149 ÷ 119 = 1 remainder 30 |
| 3 | 119 ÷ 30 = 3 remainder 29 |
| 4 | 30 ÷ 29 = 1 remainder 1 |
| 5 | 29 ÷ 1 = 29 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 40 and 123 | 4920 |
| 108 and 167 | 18036 |
| 167 and 117 | 19539 |
| 135 and 39 | 1755 |
| 90 and 116 | 5220 |