Least Common Multiple (LCM) of 172 and 76
The least common multiple (LCM) of 172 and 76 is 3268.
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 76?
First, calculate the GCD of 172 and 76 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 172 ÷ 76 = 2 remainder 20 |
| 2 | 76 ÷ 20 = 3 remainder 16 |
| 3 | 20 ÷ 16 = 1 remainder 4 |
| 4 | 16 ÷ 4 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 186 and 12 | 372 |
| 74 and 161 | 11914 |
| 44 and 24 | 264 |
| 175 and 106 | 18550 |
| 180 and 99 | 1980 |