Least Common Multiple (LCM) of 151 and 26
The least common multiple (LCM) of 151 and 26 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 151 and 26?
First, calculate the GCD of 151 and 26 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 151 ÷ 26 = 5 remainder 21 |
| 2 | 26 ÷ 21 = 1 remainder 5 |
| 3 | 21 ÷ 5 = 4 remainder 1 |
| 4 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 195 and 60 | 780 |
| 129 and 90 | 3870 |
| 79 and 75 | 5925 |
| 193 and 104 | 20072 |
| 157 and 120 | 18840 |