Least Common Multiple (LCM) of 155 and 98
The least common multiple (LCM) of 155 and 98 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 155 and 98?
First, calculate the GCD of 155 and 98 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 155 ÷ 98 = 1 remainder 57 |
| 2 | 98 ÷ 57 = 1 remainder 41 |
| 3 | 57 ÷ 41 = 1 remainder 16 |
| 4 | 41 ÷ 16 = 2 remainder 9 |
| 5 | 16 ÷ 9 = 1 remainder 7 |
| 6 | 9 ÷ 7 = 1 remainder 2 |
| 7 | 7 ÷ 2 = 3 remainder 1 |
| 8 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 90 and 200 | 1800 |
| 32 and 136 | 544 |
| 147 and 72 | 3528 |
| 92 and 54 | 2484 |
| 49 and 143 | 7007 |