Least Common Multiple (LCM) of 169 and 156
The least common multiple (LCM) of 169 and 156 is 2028.
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 156?
First, calculate the GCD of 169 and 156 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 169 ÷ 156 = 1 remainder 13 |
| 2 | 156 ÷ 13 = 12 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 161 and 139 | 22379 |
| 200 and 196 | 9800 |
| 159 and 124 | 19716 |
| 98 and 147 | 294 |
| 153 and 150 | 7650 |