Least Common Multiple (LCM) of 154 and 88
The least common multiple (LCM) of 154 and 88 is 616.
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 154 and 88?
First, calculate the GCD of 154 and 88 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 154 ÷ 88 = 1 remainder 66 |
| 2 | 88 ÷ 66 = 1 remainder 22 |
| 3 | 66 ÷ 22 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 82 and 53 | 4346 |
| 200 and 189 | 37800 |
| 104 and 56 | 728 |
| 11 and 61 | 671 |
| 193 and 51 | 9843 |