Least Common Multiple (LCM) of 118 and 149
The least common multiple (LCM) of 118 and 149 is 17582.
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 118 and 149?
First, calculate the GCD of 118 and 149 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 118 ÷ 149 = 0 remainder 118 |
| 2 | 149 ÷ 118 = 1 remainder 31 |
| 3 | 118 ÷ 31 = 3 remainder 25 |
| 4 | 31 ÷ 25 = 1 remainder 6 |
| 5 | 25 ÷ 6 = 4 remainder 1 |
| 6 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 165 and 26 | 4290 |
| 12 and 144 | 144 |
| 166 and 153 | 25398 |
| 140 and 76 | 2660 |
| 145 and 170 | 4930 |