Least Common Multiple (LCM) of 32 and 158
The least common multiple (LCM) of 32 and 158 is 2528.
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 32 and 158?
First, calculate the GCD of 32 and 158 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 32 ÷ 158 = 0 remainder 32 |
| 2 | 158 ÷ 32 = 4 remainder 30 |
| 3 | 32 ÷ 30 = 1 remainder 2 |
| 4 | 30 ÷ 2 = 15 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 21 and 34 | 714 |
| 149 and 86 | 12814 |
| 91 and 10 | 910 |
| 146 and 119 | 17374 |
| 142 and 158 | 11218 |