Least Common Multiple (LCM) of 91 and 124
The least common multiple (LCM) of 91 and 124 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 91 and 124?
First, calculate the GCD of 91 and 124 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 91 ÷ 124 = 0 remainder 91 |
| 2 | 124 ÷ 91 = 1 remainder 33 |
| 3 | 91 ÷ 33 = 2 remainder 25 |
| 4 | 33 ÷ 25 = 1 remainder 8 |
| 5 | 25 ÷ 8 = 3 remainder 1 |
| 6 | 8 ÷ 1 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 109 and 102 | 11118 |
| 125 and 51 | 6375 |
| 33 and 111 | 1221 |
| 177 and 124 | 21948 |
| 59 and 127 | 7493 |