Least Common Multiple (LCM) of 147 and 92
The least common multiple (LCM) of 147 and 92 is 13524.
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 147 and 92?
First, calculate the GCD of 147 and 92 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 147 ÷ 92 = 1 remainder 55 |
| 2 | 92 ÷ 55 = 1 remainder 37 |
| 3 | 55 ÷ 37 = 1 remainder 18 |
| 4 | 37 ÷ 18 = 2 remainder 1 |
| 5 | 18 ÷ 1 = 18 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 30 and 127 | 3810 |
| 120 and 127 | 15240 |
| 128 and 89 | 11392 |
| 112 and 193 | 21616 |
| 175 and 12 | 2100 |