Least Common Multiple (LCM) of 124 and 91
The least common multiple (LCM) of 124 and 91 is 11284.
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 124 and 91?
First, calculate the GCD of 124 and 91 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 124 ÷ 91 = 1 remainder 33 |
| 2 | 91 ÷ 33 = 2 remainder 25 |
| 3 | 33 ÷ 25 = 1 remainder 8 |
| 4 | 25 ÷ 8 = 3 remainder 1 |
| 5 | 8 ÷ 1 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 91 and 192 | 17472 |
| 141 and 82 | 11562 |
| 64 and 115 | 7360 |
| 126 and 72 | 504 |
| 96 and 163 | 15648 |