Least Common Multiple (LCM) of 76 and 124
The least common multiple (LCM) of 76 and 124 is 2356.
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 76 and 124?
First, calculate the GCD of 76 and 124 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 76 ÷ 124 = 0 remainder 76 |
| 2 | 124 ÷ 76 = 1 remainder 48 |
| 3 | 76 ÷ 48 = 1 remainder 28 |
| 4 | 48 ÷ 28 = 1 remainder 20 |
| 5 | 28 ÷ 20 = 1 remainder 8 |
| 6 | 20 ÷ 8 = 2 remainder 4 |
| 7 | 8 ÷ 4 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 38 and 88 | 1672 |
| 81 and 77 | 6237 |
| 46 and 24 | 552 |
| 42 and 84 | 84 |
| 149 and 116 | 17284 |