Least Common Multiple (LCM) of 148 and 172
The least common multiple (LCM) of 148 and 172 is 6364.
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 172?
First, calculate the GCD of 148 and 172 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 148 ÷ 172 = 0 remainder 148 |
| 2 | 172 ÷ 148 = 1 remainder 24 |
| 3 | 148 ÷ 24 = 6 remainder 4 |
| 4 | 24 ÷ 4 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 105 and 12 | 420 |
| 146 and 113 | 16498 |
| 44 and 71 | 3124 |
| 31 and 55 | 1705 |
| 39 and 60 | 780 |