Least Common Multiple (LCM) of 158 and 88
The least common multiple (LCM) of 158 and 88 is 6952.
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 158 and 88?
First, calculate the GCD of 158 and 88 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 158 ÷ 88 = 1 remainder 70 |
| 2 | 88 ÷ 70 = 1 remainder 18 |
| 3 | 70 ÷ 18 = 3 remainder 16 |
| 4 | 18 ÷ 16 = 1 remainder 2 |
| 5 | 16 ÷ 2 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 25 and 95 | 475 |
| 165 and 172 | 28380 |
| 107 and 92 | 9844 |
| 80 and 180 | 720 |
| 11 and 180 | 1980 |