Least Common Multiple (LCM) of 172 and 176
The least common multiple (LCM) of 172 and 176 is 7568.
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 176?
First, calculate the GCD of 172 and 176 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 172 ÷ 176 = 0 remainder 172 |
| 2 | 176 ÷ 172 = 1 remainder 4 |
| 3 | 172 ÷ 4 = 43 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 24 and 165 | 1320 |
| 160 and 137 | 21920 |
| 52 and 107 | 5564 |
| 199 and 106 | 21094 |
| 170 and 52 | 4420 |