Least Common Multiple (LCM) of 148 and 121
The least common multiple (LCM) of 148 and 121 is 17908.
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 148 and 121?
First, calculate the GCD of 148 and 121 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 148 ÷ 121 = 1 remainder 27 |
| 2 | 121 ÷ 27 = 4 remainder 13 |
| 3 | 27 ÷ 13 = 2 remainder 1 |
| 4 | 13 ÷ 1 = 13 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 100 and 53 | 5300 |
| 80 and 165 | 2640 |
| 19 and 200 | 3800 |
| 46 and 22 | 506 |
| 10 and 72 | 360 |