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 |
|---|---|
| 171 and 13 | 2223 |
| 110 and 48 | 2640 |
| 58 and 38 | 1102 |
| 76 and 157 | 11932 |
| 101 and 140 | 14140 |