Least Common Multiple (LCM) of 121 and 98
The least common multiple (LCM) of 121 and 98 is 11858.
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 98?
First, calculate the GCD of 121 and 98 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 121 ÷ 98 = 1 remainder 23 |
| 2 | 98 ÷ 23 = 4 remainder 6 |
| 3 | 23 ÷ 6 = 3 remainder 5 |
| 4 | 6 ÷ 5 = 1 remainder 1 |
| 5 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 35 and 25 | 175 |
| 135 and 121 | 16335 |
| 146 and 128 | 9344 |
| 164 and 28 | 1148 |
| 97 and 170 | 16490 |