Least Common Multiple (LCM) of 98 and 155
The least common multiple (LCM) of 98 and 155 is 15190.
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 155?
First, calculate the GCD of 98 and 155 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 98 ÷ 155 = 0 remainder 98 |
| 2 | 155 ÷ 98 = 1 remainder 57 |
| 3 | 98 ÷ 57 = 1 remainder 41 |
| 4 | 57 ÷ 41 = 1 remainder 16 |
| 5 | 41 ÷ 16 = 2 remainder 9 |
| 6 | 16 ÷ 9 = 1 remainder 7 |
| 7 | 9 ÷ 7 = 1 remainder 2 |
| 8 | 7 ÷ 2 = 3 remainder 1 |
| 9 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 164 and 66 | 5412 |
| 176 and 159 | 27984 |
| 31 and 169 | 5239 |
| 21 and 10 | 210 |
| 113 and 74 | 8362 |