Least Common Multiple (LCM) of 149 and 168
The least common multiple (LCM) of 149 and 168 is 25032.
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 168?
First, calculate the GCD of 149 and 168 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 149 ÷ 168 = 0 remainder 149 |
| 2 | 168 ÷ 149 = 1 remainder 19 |
| 3 | 149 ÷ 19 = 7 remainder 16 |
| 4 | 19 ÷ 16 = 1 remainder 3 |
| 5 | 16 ÷ 3 = 5 remainder 1 |
| 6 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 35 and 123 | 4305 |
| 135 and 121 | 16335 |
| 125 and 20 | 500 |
| 79 and 36 | 2844 |
| 140 and 167 | 23380 |