Least Common Multiple (LCM) of 121 and 21
The least common multiple (LCM) of 121 and 21 is 2541.
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 21?
First, calculate the GCD of 121 and 21 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 121 ÷ 21 = 5 remainder 16 |
| 2 | 21 ÷ 16 = 1 remainder 5 |
| 3 | 16 ÷ 5 = 3 remainder 1 |
| 4 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 138 and 126 | 2898 |
| 114 and 138 | 2622 |
| 28 and 46 | 644 |
| 192 and 195 | 12480 |
| 119 and 175 | 2975 |