Least Common Multiple (LCM) of 24 and 76
The least common multiple (LCM) of 24 and 76 is 456.
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 24 and 76?
First, calculate the GCD of 24 and 76 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 24 ÷ 76 = 0 remainder 24 |
| 2 | 76 ÷ 24 = 3 remainder 4 |
| 3 | 24 ÷ 4 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 48 and 66 | 528 |
| 40 and 167 | 6680 |
| 183 and 129 | 7869 |
| 136 and 199 | 27064 |
| 101 and 65 | 6565 |