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 |
|---|---|
| 131 and 26 | 3406 |
| 157 and 172 | 27004 |
| 195 and 103 | 20085 |
| 70 and 179 | 12530 |
| 52 and 31 | 1612 |