Least Common Multiple (LCM) of 150 and 121
The least common multiple (LCM) of 150 and 121 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 150 and 121?
First, calculate the GCD of 150 and 121 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 150 ÷ 121 = 1 remainder 29 |
| 2 | 121 ÷ 29 = 4 remainder 5 |
| 3 | 29 ÷ 5 = 5 remainder 4 |
| 4 | 5 ÷ 4 = 1 remainder 1 |
| 5 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 160 and 94 | 7520 |
| 181 and 178 | 32218 |
| 157 and 40 | 6280 |
| 71 and 37 | 2627 |
| 199 and 90 | 17910 |