Least Common Multiple (LCM) of 121 and 27
The least common multiple (LCM) of 121 and 27 is 3267.
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 27?
First, calculate the GCD of 121 and 27 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 121 ÷ 27 = 4 remainder 13 |
| 2 | 27 ÷ 13 = 2 remainder 1 |
| 3 | 13 ÷ 1 = 13 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 69 and 136 | 9384 |
| 172 and 54 | 4644 |
| 128 and 60 | 1920 |
| 101 and 41 | 4141 |
| 37 and 134 | 4958 |