Least Common Multiple (LCM) of 172 and 48
The least common multiple (LCM) of 172 and 48 is 2064.
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 172 and 48?
First, calculate the GCD of 172 and 48 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 172 ÷ 48 = 3 remainder 28 |
| 2 | 48 ÷ 28 = 1 remainder 20 |
| 3 | 28 ÷ 20 = 1 remainder 8 |
| 4 | 20 ÷ 8 = 2 remainder 4 |
| 5 | 8 ÷ 4 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 32 and 123 | 3936 |
| 193 and 95 | 18335 |
| 70 and 128 | 4480 |
| 38 and 188 | 3572 |
| 141 and 159 | 7473 |