Least Common Multiple (LCM) of 121 and 148
The least common multiple (LCM) of 121 and 148 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 121 and 148?
First, calculate the GCD of 121 and 148 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 121 ÷ 148 = 0 remainder 121 |
| 2 | 148 ÷ 121 = 1 remainder 27 |
| 3 | 121 ÷ 27 = 4 remainder 13 |
| 4 | 27 ÷ 13 = 2 remainder 1 |
| 5 | 13 ÷ 1 = 13 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 14 and 51 | 714 |
| 91 and 42 | 546 |
| 16 and 86 | 688 |
| 165 and 136 | 22440 |
| 121 and 116 | 14036 |