Least Common Multiple (LCM) of 24 and 171
The least common multiple (LCM) of 24 and 171 is 1368.
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 24 and 171?
First, calculate the GCD of 24 and 171 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 24 ÷ 171 = 0 remainder 24 |
| 2 | 171 ÷ 24 = 7 remainder 3 |
| 3 | 24 ÷ 3 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 141 and 15 | 705 |
| 123 and 99 | 4059 |
| 151 and 139 | 20989 |
| 73 and 76 | 5548 |
| 176 and 152 | 3344 |