Least Common Multiple (LCM) of 151 and 25
The least common multiple (LCM) of 151 and 25 is 3775.
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 25?
First, calculate the GCD of 151 and 25 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 151 ÷ 25 = 6 remainder 1 |
| 2 | 25 ÷ 1 = 25 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 157 and 124 | 19468 |
| 31 and 181 | 5611 |
| 146 and 84 | 6132 |
| 72 and 82 | 2952 |
| 146 and 100 | 7300 |