Least Common Multiple (LCM) of 150 and 129
The least common multiple (LCM) of 150 and 129 is 6450.
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 150 and 129?
First, calculate the GCD of 150 and 129 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 150 ÷ 129 = 1 remainder 21 |
| 2 | 129 ÷ 21 = 6 remainder 3 |
| 3 | 21 ÷ 3 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 51 and 112 | 5712 |
| 100 and 191 | 19100 |
| 126 and 164 | 10332 |
| 36 and 180 | 180 |
| 14 and 49 | 98 |