Least Common Multiple (LCM) of 147 and 108
The least common multiple (LCM) of 147 and 108 is 5292.
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 108?
First, calculate the GCD of 147 and 108 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 147 ÷ 108 = 1 remainder 39 |
| 2 | 108 ÷ 39 = 2 remainder 30 |
| 3 | 39 ÷ 30 = 1 remainder 9 |
| 4 | 30 ÷ 9 = 3 remainder 3 |
| 5 | 9 ÷ 3 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 110 and 41 | 4510 |
| 16 and 94 | 752 |
| 37 and 172 | 6364 |
| 114 and 105 | 3990 |
| 125 and 36 | 4500 |