Least Common Multiple (LCM) of 91 and 56
The least common multiple (LCM) of 91 and 56 is 728.
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 56?
First, calculate the GCD of 91 and 56 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 91 ÷ 56 = 1 remainder 35 |
| 2 | 56 ÷ 35 = 1 remainder 21 |
| 3 | 35 ÷ 21 = 1 remainder 14 |
| 4 | 21 ÷ 14 = 1 remainder 7 |
| 5 | 14 ÷ 7 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 101 and 158 | 15958 |
| 156 and 193 | 30108 |
| 140 and 126 | 1260 |
| 158 and 164 | 12956 |
| 52 and 183 | 9516 |