Least Common Multiple (LCM) of 149 and 161
The least common multiple (LCM) of 149 and 161 is 23989.
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 161?
First, calculate the GCD of 149 and 161 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 149 ÷ 161 = 0 remainder 149 |
| 2 | 161 ÷ 149 = 1 remainder 12 |
| 3 | 149 ÷ 12 = 12 remainder 5 |
| 4 | 12 ÷ 5 = 2 remainder 2 |
| 5 | 5 ÷ 2 = 2 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 103 and 142 | 14626 |
| 134 and 153 | 20502 |
| 99 and 80 | 7920 |
| 175 and 106 | 18550 |
| 101 and 192 | 19392 |