Least Common Multiple (LCM) of 92 and 149
The least common multiple (LCM) of 92 and 149 is 13708.
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 92 and 149?
First, calculate the GCD of 92 and 149 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 92 ÷ 149 = 0 remainder 92 |
| 2 | 149 ÷ 92 = 1 remainder 57 |
| 3 | 92 ÷ 57 = 1 remainder 35 |
| 4 | 57 ÷ 35 = 1 remainder 22 |
| 5 | 35 ÷ 22 = 1 remainder 13 |
| 6 | 22 ÷ 13 = 1 remainder 9 |
| 7 | 13 ÷ 9 = 1 remainder 4 |
| 8 | 9 ÷ 4 = 2 remainder 1 |
| 9 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 188 and 146 | 13724 |
| 191 and 91 | 17381 |
| 164 and 154 | 12628 |
| 107 and 146 | 15622 |
| 119 and 144 | 17136 |