Least Common Multiple (LCM) of 118 and 98
The least common multiple (LCM) of 118 and 98 is 5782.
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 118 and 98?
First, calculate the GCD of 118 and 98 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 118 ÷ 98 = 1 remainder 20 |
| 2 | 98 ÷ 20 = 4 remainder 18 |
| 3 | 20 ÷ 18 = 1 remainder 2 |
| 4 | 18 ÷ 2 = 9 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 159 and 10 | 1590 |
| 52 and 169 | 676 |
| 68 and 40 | 680 |
| 119 and 15 | 1785 |
| 136 and 165 | 22440 |