Least Common Multiple (LCM) of 121 and 149
The least common multiple (LCM) of 121 and 149 is 18029.
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 149?
First, calculate the GCD of 121 and 149 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 121 ÷ 149 = 0 remainder 121 |
| 2 | 149 ÷ 121 = 1 remainder 28 |
| 3 | 121 ÷ 28 = 4 remainder 9 |
| 4 | 28 ÷ 9 = 3 remainder 1 |
| 5 | 9 ÷ 1 = 9 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 78 and 196 | 7644 |
| 108 and 170 | 9180 |
| 160 and 21 | 3360 |
| 16 and 138 | 1104 |
| 36 and 144 | 144 |