Least Common Multiple (LCM) of 26 and 153
The least common multiple (LCM) of 26 and 153 is 3978.
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 26 and 153?
First, calculate the GCD of 26 and 153 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 26 ÷ 153 = 0 remainder 26 |
| 2 | 153 ÷ 26 = 5 remainder 23 |
| 3 | 26 ÷ 23 = 1 remainder 3 |
| 4 | 23 ÷ 3 = 7 remainder 2 |
| 5 | 3 ÷ 2 = 1 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 100 and 137 | 13700 |
| 54 and 97 | 5238 |
| 90 and 170 | 1530 |
| 149 and 92 | 13708 |
| 106 and 109 | 11554 |