Least Common Multiple (LCM) of 91 and 169
The least common multiple (LCM) of 91 and 169 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 91 and 169?
First, calculate the GCD of 91 and 169 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 91 ÷ 169 = 0 remainder 91 |
| 2 | 169 ÷ 91 = 1 remainder 78 |
| 3 | 91 ÷ 78 = 1 remainder 13 |
| 4 | 78 ÷ 13 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 25 and 71 | 1775 |
| 191 and 64 | 12224 |
| 157 and 117 | 18369 |
| 144 and 49 | 7056 |
| 190 and 129 | 24510 |