Least Common Multiple (LCM) of 98 and 121
The least common multiple (LCM) of 98 and 121 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 98 and 121?
First, calculate the GCD of 98 and 121 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 98 ÷ 121 = 0 remainder 98 |
| 2 | 121 ÷ 98 = 1 remainder 23 |
| 3 | 98 ÷ 23 = 4 remainder 6 |
| 4 | 23 ÷ 6 = 3 remainder 5 |
| 5 | 6 ÷ 5 = 1 remainder 1 |
| 6 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 153 and 110 | 16830 |
| 157 and 50 | 7850 |
| 102 and 47 | 4794 |
| 178 and 93 | 16554 |
| 34 and 111 | 3774 |