Least Common Multiple (LCM) of 148 and 25
The least common multiple (LCM) of 148 and 25 is 3700.
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 148 and 25?
First, calculate the GCD of 148 and 25 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 148 ÷ 25 = 5 remainder 23 |
| 2 | 25 ÷ 23 = 1 remainder 2 |
| 3 | 23 ÷ 2 = 11 remainder 1 |
| 4 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 90 and 55 | 990 |
| 107 and 83 | 8881 |
| 111 and 43 | 4773 |
| 174 and 44 | 3828 |
| 39 and 61 | 2379 |