Least Common Multiple (LCM) of 154 and 26
The least common multiple (LCM) of 154 and 26 is 2002.
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 154 and 26?
First, calculate the GCD of 154 and 26 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 154 ÷ 26 = 5 remainder 24 |
| 2 | 26 ÷ 24 = 1 remainder 2 |
| 3 | 24 ÷ 2 = 12 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 161 and 158 | 25438 |
| 101 and 81 | 8181 |
| 22 and 31 | 682 |
| 184 and 148 | 6808 |
| 55 and 49 | 2695 |