Least Common Multiple (LCM) of 91 and 155
The least common multiple (LCM) of 91 and 155 is 14105.
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 155?
First, calculate the GCD of 91 and 155 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 91 ÷ 155 = 0 remainder 91 |
| 2 | 155 ÷ 91 = 1 remainder 64 |
| 3 | 91 ÷ 64 = 1 remainder 27 |
| 4 | 64 ÷ 27 = 2 remainder 10 |
| 5 | 27 ÷ 10 = 2 remainder 7 |
| 6 | 10 ÷ 7 = 1 remainder 3 |
| 7 | 7 ÷ 3 = 2 remainder 1 |
| 8 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 121 and 105 | 12705 |
| 48 and 36 | 144 |
| 95 and 40 | 760 |
| 88 and 143 | 1144 |
| 13 and 46 | 598 |