Least Common Multiple (LCM) of 149 and 29
The least common multiple (LCM) of 149 and 29 is 4321.
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 29?
First, calculate the GCD of 149 and 29 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 149 ÷ 29 = 5 remainder 4 |
| 2 | 29 ÷ 4 = 7 remainder 1 |
| 3 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 198 and 77 | 1386 |
| 17 and 128 | 2176 |
| 16 and 53 | 848 |
| 131 and 155 | 20305 |
| 178 and 18 | 1602 |