Least Common Multiple (LCM) of 169 and 91
The least common multiple (LCM) of 169 and 91 is 1183.
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 91?
First, calculate the GCD of 169 and 91 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 169 ÷ 91 = 1 remainder 78 |
| 2 | 91 ÷ 78 = 1 remainder 13 |
| 3 | 78 ÷ 13 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 35 and 75 | 525 |
| 177 and 89 | 15753 |
| 114 and 188 | 10716 |
| 108 and 135 | 540 |
| 100 and 128 | 3200 |