Least Common Multiple (LCM) of 149 and 164
The least common multiple (LCM) of 149 and 164 is 24436.
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 164?
First, calculate the GCD of 149 and 164 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 149 ÷ 164 = 0 remainder 149 |
| 2 | 164 ÷ 149 = 1 remainder 15 |
| 3 | 149 ÷ 15 = 9 remainder 14 |
| 4 | 15 ÷ 14 = 1 remainder 1 |
| 5 | 14 ÷ 1 = 14 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 85 and 87 | 7395 |
| 32 and 105 | 3360 |
| 78 and 50 | 1950 |
| 166 and 113 | 18758 |
| 110 and 38 | 2090 |