Least Common Multiple (LCM) of 129 and 151
The least common multiple (LCM) of 129 and 151 is 19479.
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 129 and 151?
First, calculate the GCD of 129 and 151 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 129 ÷ 151 = 0 remainder 129 |
| 2 | 151 ÷ 129 = 1 remainder 22 |
| 3 | 129 ÷ 22 = 5 remainder 19 |
| 4 | 22 ÷ 19 = 1 remainder 3 |
| 5 | 19 ÷ 3 = 6 remainder 1 |
| 6 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 113 and 68 | 7684 |
| 99 and 46 | 4554 |
| 112 and 197 | 22064 |
| 16 and 172 | 688 |
| 158 and 104 | 8216 |