Least Common Multiple (LCM) of 155 and 88
The least common multiple (LCM) of 155 and 88 is 13640.
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 88?
First, calculate the GCD of 155 and 88 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 155 ÷ 88 = 1 remainder 67 |
| 2 | 88 ÷ 67 = 1 remainder 21 |
| 3 | 67 ÷ 21 = 3 remainder 4 |
| 4 | 21 ÷ 4 = 5 remainder 1 |
| 5 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 188 and 192 | 9024 |
| 82 and 36 | 1476 |
| 171 and 30 | 1710 |
| 38 and 200 | 3800 |
| 47 and 77 | 3619 |