Least Common Multiple (LCM) of 149 and 160
The least common multiple (LCM) of 149 and 160 is 23840.
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 149 and 160?
First, calculate the GCD of 149 and 160 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 149 ÷ 160 = 0 remainder 149 |
| 2 | 160 ÷ 149 = 1 remainder 11 |
| 3 | 149 ÷ 11 = 13 remainder 6 |
| 4 | 11 ÷ 6 = 1 remainder 5 |
| 5 | 6 ÷ 5 = 1 remainder 1 |
| 6 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 150 and 100 | 300 |
| 169 and 94 | 15886 |
| 49 and 108 | 5292 |
| 80 and 167 | 13360 |
| 53 and 174 | 9222 |