Least Common Multiple (LCM) of 121 and 150
The least common multiple (LCM) of 121 and 150 is 18150.
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 121 and 150?
First, calculate the GCD of 121 and 150 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 121 ÷ 150 = 0 remainder 121 |
| 2 | 150 ÷ 121 = 1 remainder 29 |
| 3 | 121 ÷ 29 = 4 remainder 5 |
| 4 | 29 ÷ 5 = 5 remainder 4 |
| 5 | 5 ÷ 4 = 1 remainder 1 |
| 6 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 144 and 100 | 3600 |
| 20 and 118 | 1180 |
| 141 and 144 | 6768 |
| 123 and 68 | 8364 |
| 61 and 69 | 4209 |