Least Common Multiple (LCM) of 149 and 71
The least common multiple (LCM) of 149 and 71 is 10579.
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 71?
First, calculate the GCD of 149 and 71 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 149 ÷ 71 = 2 remainder 7 |
| 2 | 71 ÷ 7 = 10 remainder 1 |
| 3 | 7 ÷ 1 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 66 and 100 | 3300 |
| 188 and 164 | 7708 |
| 200 and 112 | 2800 |
| 131 and 117 | 15327 |
| 112 and 42 | 336 |