Least Common Multiple (LCM) of 158 and 26
The least common multiple (LCM) of 158 and 26 is 2054.
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 26?
First, calculate the GCD of 158 and 26 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 158 ÷ 26 = 6 remainder 2 |
| 2 | 26 ÷ 2 = 13 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 123 and 79 | 9717 |
| 77 and 115 | 8855 |
| 137 and 140 | 19180 |
| 180 and 172 | 7740 |
| 151 and 113 | 17063 |