Least Common Multiple (LCM) of 121 and 138
The least common multiple (LCM) of 121 and 138 is 16698.
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 138?
First, calculate the GCD of 121 and 138 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 121 ÷ 138 = 0 remainder 121 |
| 2 | 138 ÷ 121 = 1 remainder 17 |
| 3 | 121 ÷ 17 = 7 remainder 2 |
| 4 | 17 ÷ 2 = 8 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 160 and 17 | 2720 |
| 111 and 73 | 8103 |
| 199 and 48 | 9552 |
| 35 and 86 | 3010 |
| 134 and 135 | 18090 |