Least Common Multiple (LCM) of 176 and 169
The least common multiple (LCM) of 176 and 169 is 29744.
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 176 and 169?
First, calculate the GCD of 176 and 169 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 176 ÷ 169 = 1 remainder 7 |
| 2 | 169 ÷ 7 = 24 remainder 1 |
| 3 | 7 ÷ 1 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 154 and 80 | 6160 |
| 160 and 100 | 800 |
| 73 and 180 | 13140 |
| 144 and 87 | 4176 |
| 76 and 96 | 1824 |