Least Common Multiple (LCM) of 124 and 26
The least common multiple (LCM) of 124 and 26 is 1612.
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 26?
First, calculate the GCD of 124 and 26 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 124 ÷ 26 = 4 remainder 20 |
| 2 | 26 ÷ 20 = 1 remainder 6 |
| 3 | 20 ÷ 6 = 3 remainder 2 |
| 4 | 6 ÷ 2 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 115 and 35 | 805 |
| 176 and 13 | 2288 |
| 120 and 106 | 6360 |
| 76 and 65 | 4940 |
| 158 and 32 | 2528 |