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 |
|---|---|
| 39 and 131 | 5109 |
| 51 and 65 | 3315 |
| 101 and 104 | 10504 |
| 180 and 138 | 4140 |
| 53 and 95 | 5035 |