Least Common Multiple (LCM) of 149 and 129
The least common multiple (LCM) of 149 and 129 is 19221.
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 129?
First, calculate the GCD of 149 and 129 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 149 ÷ 129 = 1 remainder 20 |
| 2 | 129 ÷ 20 = 6 remainder 9 |
| 3 | 20 ÷ 9 = 2 remainder 2 |
| 4 | 9 ÷ 2 = 4 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 156 and 148 | 5772 |
| 85 and 111 | 9435 |
| 160 and 102 | 8160 |
| 68 and 149 | 10132 |
| 198 and 74 | 7326 |