Least Common Multiple (LCM) of 158 and 136
The least common multiple (LCM) of 158 and 136 is 10744.
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 136?
First, calculate the GCD of 158 and 136 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 158 ÷ 136 = 1 remainder 22 |
| 2 | 136 ÷ 22 = 6 remainder 4 |
| 3 | 22 ÷ 4 = 5 remainder 2 |
| 4 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 164 and 190 | 15580 |
| 27 and 65 | 1755 |
| 120 and 75 | 600 |
| 172 and 53 | 9116 |
| 174 and 176 | 15312 |