Least Common Multiple (LCM) of 26 and 151
The least common multiple (LCM) of 26 and 151 is 3926.
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 151?
First, calculate the GCD of 26 and 151 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 26 ÷ 151 = 0 remainder 26 |
| 2 | 151 ÷ 26 = 5 remainder 21 |
| 3 | 26 ÷ 21 = 1 remainder 5 |
| 4 | 21 ÷ 5 = 4 remainder 1 |
| 5 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 115 and 188 | 21620 |
| 107 and 166 | 17762 |
| 157 and 98 | 15386 |
| 176 and 171 | 30096 |
| 124 and 173 | 21452 |