Least Common Multiple (LCM) of 22 and 76
The least common multiple (LCM) of 22 and 76 is 836.
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 22 and 76?
First, calculate the GCD of 22 and 76 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 22 ÷ 76 = 0 remainder 22 |
| 2 | 76 ÷ 22 = 3 remainder 10 |
| 3 | 22 ÷ 10 = 2 remainder 2 |
| 4 | 10 ÷ 2 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 133 and 133 | 133 |
| 147 and 107 | 15729 |
| 108 and 15 | 540 |
| 189 and 191 | 36099 |
| 109 and 153 | 16677 |