Least Common Multiple (LCM) of 112 and 91
The least common multiple (LCM) of 112 and 91 is 1456.
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 112 and 91?
First, calculate the GCD of 112 and 91 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 112 ÷ 91 = 1 remainder 21 |
| 2 | 91 ÷ 21 = 4 remainder 7 |
| 3 | 21 ÷ 7 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 114 and 154 | 8778 |
| 69 and 199 | 13731 |
| 22 and 83 | 1826 |
| 17 and 103 | 1751 |
| 93 and 96 | 2976 |