Least Common Multiple (LCM) of 69 and 92
The least common multiple (LCM) of 69 and 92 is 276.
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 69 and 92?
First, calculate the GCD of 69 and 92 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 69 ÷ 92 = 0 remainder 69 |
| 2 | 92 ÷ 69 = 1 remainder 23 |
| 3 | 69 ÷ 23 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 175 and 188 | 32900 |
| 189 and 182 | 4914 |
| 151 and 156 | 23556 |
| 53 and 114 | 6042 |
| 10 and 166 | 830 |