Least Common Multiple (LCM) of 149 and 170
The least common multiple (LCM) of 149 and 170 is 25330.
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 170?
First, calculate the GCD of 149 and 170 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 149 ÷ 170 = 0 remainder 149 |
| 2 | 170 ÷ 149 = 1 remainder 21 |
| 3 | 149 ÷ 21 = 7 remainder 2 |
| 4 | 21 ÷ 2 = 10 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 101 and 31 | 3131 |
| 130 and 44 | 2860 |
| 165 and 118 | 19470 |
| 57 and 43 | 2451 |
| 144 and 116 | 4176 |