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 |
|---|---|
| 147 and 28 | 588 |
| 107 and 125 | 13375 |
| 37 and 200 | 7400 |
| 161 and 123 | 19803 |
| 98 and 49 | 98 |