Least Common Multiple (LCM) of 158 and 110
The least common multiple (LCM) of 158 and 110 is 8690.
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 110?
First, calculate the GCD of 158 and 110 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 158 ÷ 110 = 1 remainder 48 |
| 2 | 110 ÷ 48 = 2 remainder 14 |
| 3 | 48 ÷ 14 = 3 remainder 6 |
| 4 | 14 ÷ 6 = 2 remainder 2 |
| 5 | 6 ÷ 2 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 62 and 152 | 4712 |
| 173 and 165 | 28545 |
| 98 and 13 | 1274 |
| 84 and 142 | 5964 |
| 91 and 16 | 1456 |