Least Common Multiple (LCM) of 155 and 172
The least common multiple (LCM) of 155 and 172 is 26660.
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 155 and 172?
First, calculate the GCD of 155 and 172 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 155 ÷ 172 = 0 remainder 155 |
| 2 | 172 ÷ 155 = 1 remainder 17 |
| 3 | 155 ÷ 17 = 9 remainder 2 |
| 4 | 17 ÷ 2 = 8 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 101 and 145 | 14645 |
| 108 and 112 | 3024 |
| 125 and 182 | 22750 |
| 19 and 184 | 3496 |
| 24 and 115 | 2760 |