Least Common Multiple (LCM) of 169 and 172
The least common multiple (LCM) of 169 and 172 is 29068.
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 169 and 172?
First, calculate the GCD of 169 and 172 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 169 ÷ 172 = 0 remainder 169 |
| 2 | 172 ÷ 169 = 1 remainder 3 |
| 3 | 169 ÷ 3 = 56 remainder 1 |
| 4 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 90 and 178 | 8010 |
| 132 and 153 | 6732 |
| 108 and 106 | 5724 |
| 85 and 149 | 12665 |
| 125 and 20 | 500 |