Least Common Multiple (LCM) of 124 and 113
The least common multiple (LCM) of 124 and 113 is 14012.
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 113?
First, calculate the GCD of 124 and 113 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 124 ÷ 113 = 1 remainder 11 |
| 2 | 113 ÷ 11 = 10 remainder 3 |
| 3 | 11 ÷ 3 = 3 remainder 2 |
| 4 | 3 ÷ 2 = 1 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 120 and 134 | 8040 |
| 110 and 109 | 11990 |
| 34 and 160 | 2720 |
| 146 and 91 | 13286 |
| 125 and 129 | 16125 |