Least Common Multiple (LCM) of 172 and 55
The least common multiple (LCM) of 172 and 55 is 9460.
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 55?
First, calculate the GCD of 172 and 55 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 172 ÷ 55 = 3 remainder 7 |
| 2 | 55 ÷ 7 = 7 remainder 6 |
| 3 | 7 ÷ 6 = 1 remainder 1 |
| 4 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 87 and 89 | 7743 |
| 172 and 188 | 8084 |
| 101 and 171 | 17271 |
| 137 and 144 | 19728 |
| 169 and 138 | 23322 |