Least Common Multiple (LCM) of 172 and 154
The least common multiple (LCM) of 172 and 154 is 13244.
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 154?
First, calculate the GCD of 172 and 154 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 172 ÷ 154 = 1 remainder 18 |
| 2 | 154 ÷ 18 = 8 remainder 10 |
| 3 | 18 ÷ 10 = 1 remainder 8 |
| 4 | 10 ÷ 8 = 1 remainder 2 |
| 5 | 8 ÷ 2 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 35 and 66 | 2310 |
| 149 and 116 | 17284 |
| 180 and 37 | 6660 |
| 187 and 15 | 2805 |
| 189 and 133 | 3591 |